Mathematics | Cambridge Core

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Welcome to the mathematics research hub for papers categorised under MSC 2010 classifications as Group theory and generalizations. Papers on this page are organised in collections from 20- through 20P, although not all collections may have papers published in that area at this time. Visit the MSC2010 database from MathScinet for a full list of codes.

Jump to the following areas

20-xx: Group theory and generalizations 20Axx: Foundations 20Bxx: Permutation groups 20Cxx: Representation theory of groups 20Dxx: Abstract finite groups 20Exx: Structure and classification of infinite or finite groups 20Fxx: Special aspects of infinite or finite groups 20Gxx: Linear algebraic groups and related topics 20Hxx: Other groups of matrices 20Jxx: Connections with homological algebra and category theory 20Kxx: Abelian groups 20Lxx: Groupoids 20Mxx: Semigroups 20Nxx: Other generalizations of groups 20Pxx: Probabilistic methods in group theory

Group theory and generalizations (20-XX)

View all

Article
BEHIND AND BEYOND A THEOREM ON GROUPS RELATED TO TRIVALENT GRAPHS
GEORGE HAVAS, EDMUND F. ROBERTSON, DALE C. SUTHERLAND
Journal of the Australian Mathematical Society, Volume 85, Issue 3

Article
PRIMITIVE PERMUTATION GROUPS CONTAINING A CYCLE
GARETH A. JONES
Bulletin of the Australian Mathematical Society, Volume 89, Issue 1

Article
Approximating the Schur multiplier of certain infinitely presented groups via nilpotent quotients
René Hartung
LMS Journal of Computation and Mathematics, Volume 13

Article
Computing Hall subgroups of finite groups
Bettina Eick, Alexander Hulpke
LMS Journal of Computation and Mathematics, Volume 15

Article
A computer-aided analysis of some finitely presented groups
M. F. Newman, E. A. O'Brien
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, Volume 53, Issue 3

Article
Testing modules for irreducibility
Derek F. Holt, Sarah Rees
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, Volume 57, Issue 1

Article
On a family of cyclically-presented fundamental groups
M. F. Newman
Journal of the Australian Mathematical Society, Volume 71, Issue 2

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Foundations (20Axx)

View all

Article
The nonabelian product modulo sum
Samuel M. Corson
Proceedings of the Edinburgh Mathematical Society, First View

Article
A Shelah group in ZFC
Márk Poór, Assaf Rinot
Forum of Mathematics, Pi, Volume 13

Article
OMEGA-CATEGORICAL PSEUDOFINITE GROUPS
DUGALD MACPHERSON, KATRIN TENT
The Journal of Symbolic Logic, First View

Article
BOHR COMPACTIFICATIONS OF GROUPS AND RINGS
JAKUB GISMATULLIN, GRZEGORZ JAGIELLA, KRZYSZTOF KRUPIŃSKI
The Journal of Symbolic Logic, Volume 88, Issue 3

Article
SYMÉTRIES ET TRANSVEXIONS, PRINCIPALEMENT DANS LES GROUPES DE RANG DE MORLEY FINI SANS INVOLUTIONS
BRUNO POIZAT
The Journal of Symbolic Logic, Volume 86, Issue 3

Article
STRONGLY BOUNDED LOCALLY INDICABLE GROUPS
SAMUEL M. CORSON
Bulletin of the Australian Mathematical Society, Volume 104, Issue 3

Article
HOMOGENEOUS STRUCTURES WITH NONUNIVERSAL AUTOMORPHISM GROUPS
WIESŁAW KUBIŚ, SAHARON SHELAH
The Journal of Symbolic Logic, Volume 85, Issue 2

Article
FIRST-ORDER RECOGNIZABILITY IN FINITE AND PSEUDOFINITE GROUPS
YVES CORNULIER, JOHN S. WILSON
The Journal of Symbolic Logic, Volume 85, Issue 2

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Permutation groups (20Bxx)

View all

Article
MIXED IDENTITIES FOR OLIGOMORPHIC AUTOMORPHISM GROUPS
MANUEL BODIRSKY, JAKOB SCHNEIDER, ANDREAS THOM
The Journal of Symbolic Logic, First View

Article
On the quasi-transitivity degree of branch groups
DOMINIK FRANCOEUR
Mathematical Proceedings of the Cambridge Philosophical Society, First View

Article
On derangements in simple permutation groups
Timothy Burness, Marco Fusari
Forum of Mathematics, Sigma, Volume 13

Article
On the Aldous-Caputo Spectral Gap Conjecture for Hypergraphs
GIL ALON, GADY KOZMA, DORON PUDER
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 179, Issue 2

Article
On the Fourier coefficients of word maps on unitary groups
Nir Avni, Itay Glazer
Compositio Mathematica, Volume 161, Issue 4

Article
EXCEPTIONAL GROUPS OF ORDER $p^6$ FOR PRIMES $p\geq 5$
E. A. O’BRIEN, SUNIL KUMAR PRAJAPATI, AYUSH UDEEP
Bulletin of the Australian Mathematical Society, First View

Article
A single source theorem for primitive points on curves
Maleeha Khawaja, Samir Siksek
Forum of Mathematics, Sigma, Volume 13

Article
A complete classification of shuffle groups
Binzhou Xia, Junyang Zhang, Zhishuo Zhang, Wenying Zhu
Forum of Mathematics, Sigma, Volume 12

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Representation theory of groups (20Cxx)

View all

Article
On integral decomposition of unipotent elements in integral group rings
Leo Margolis, Geoffrey Janssens
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
GROUPS HAVING 12 CYCLIC SUBGROUPS
KHYATI SHARMA, A. SATYANARAYANA REDDY
Bulletin of the Australian Mathematical Society, First View

Article
THE p-RATIONALITY OF HEIGHT-ZERO CHARACTERS
NGUYEN HUNG, MANDI SCHAEFFER FRY
Nagoya Mathematical Journal, First View

Article
On finite groups with bounded conjugacy classes of commutators
Débora Senise, Pavel Shumyatsky
Glasgow Mathematical Journal, First View

Article
On the structures of the Johnson cokernels of the basis-conjugating automorphism groups of free groups
Naoya Enomoto, Takao Satoh
Glasgow Mathematical Journal, First View

Article
Derived equivalences for trigonometric double affine Hecke algebras
Wille Liu
Forum of Mathematics, Sigma, Volume 13

Article
ON THE LARGEST CHARACTER DEGREE OF SOLVABLE GROUPS
YONG YANG, MENGTIAN ZHANG
Bulletin of the Australian Mathematical Society, First View

Article
Moments, Exponential Sums, and Monodromy Groups
Nicholas M. Katz, Pham Huu Tiep
Forum of Mathematics, Sigma, Volume 13

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Abstract finite groups (20Dxx)

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Structure and classification of infinite or finite groups (20Exx)

View all

Article
The conjugacy ratio of abelian-by-cyclic groups
David Guo
Proceedings of the Edinburgh Mathematical Society, First View

Article
On integral decomposition of unipotent elements in integral group rings
Leo Margolis, Geoffrey Janssens
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Twisted Rokhlin property for mapping class groups
Pravin Kumar, Apeksha Sanghi, Mahender Singh
Proceedings of the Edinburgh Mathematical Society, First View

Article
Type invariants for non-abelian odometers
STEVE HURDER, OLGA LUKINA
Ergodic Theory and Dynamical Systems, First View

Article
On finite groups with bounded conjugacy classes of commutators
Débora Senise, Pavel Shumyatsky
Glasgow Mathematical Journal, First View

Article
On congruence subgroups generated by two parabolic rational matrices
CARL-FREDRIK NYBERG-BRODDA
Mathematical Proceedings of the Cambridge Philosophical Society, First View

Article
On closure operations in the space of subgroups and applications
DOMINIK FRANCOEUR, ADRIEN LE BOUDEC
Ergodic Theory and Dynamical Systems, First View

Article
On the quasi-transitivity degree of branch groups
DOMINIK FRANCOEUR
Mathematical Proceedings of the Cambridge Philosophical Society, First View

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Special aspects of infinite or finite groups (20Fxx)

View all

Article
The conjugacy ratio of abelian-by-cyclic groups
David Guo
Proceedings of the Edinburgh Mathematical Society, First View

Article
Abelianness and centrality in inverse semigroups
Michael Kinyon, David Stanovský
Proceedings of the Edinburgh Mathematical Society, First View

Article
On homological properties of the Schlichting completion
LAURA BONN, ROMAN SAUER
Mathematical Proceedings of the Cambridge Philosophical Society, First View

Article
Quantitative ergodic theorems for actions of groups of polynomial growth
GUIXIANG HONG, WEI LIU
Ergodic Theory and Dynamical Systems, First View

Article
Higher incoherence of the automorphism groups of a free group
Stefano Vidussi
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
On finite groups with bounded conjugacy classes of commutators
Débora Senise, Pavel Shumyatsky
Glasgow Mathematical Journal, First View

Article
Posets arising from decompositions of objects in a monoidal category
Kevin Ivan Piterman, Volkmar Welker
Forum of Mathematics, Sigma, Volume 13

Article
On the structures of the Johnson cokernels of the basis-conjugating automorphism groups of free groups
Naoya Enomoto, Takao Satoh
Glasgow Mathematical Journal, First View

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Linear algebraic groups and related topics (20Gxx)

View all

Article
BUBBLES IN THE AFFINE BRAUER AND KAUFFMAN CATEGORIES
ALISTAIR SAVAGE, BEN WEBSTER
Journal of the Australian Mathematical Society, First View

Article
On G2-manifolds and geometry in dimensions 6 and 8
Radu Pantilie
Glasgow Mathematical Journal, First View

Article
Contramodules for algebraic groups: the existence of mock projectives
Dylan Johnston
Canadian Mathematical Bulletin, First View

Article
Smooth locus of twisted affine Schubert varieties and twisted affine Demazure modules
Marc Besson, Jiuzu Hong
Forum of Mathematics, Sigma, Volume 13

Article
Morava J-invariant
Nikita Geldhauser, Andrei Lavrenov, Victor Petrov, Pavel Sechin
Forum of Mathematics, Sigma, Volume 13

Article
Moments, Exponential Sums, and Monodromy Groups
Nicholas M. Katz, Pham Huu Tiep
Forum of Mathematics, Sigma, Volume 13

Article
Eisenstein Cohomology for $\mathrm {GL}_N$ and the special values of Rankin–Selberg L-functions over a totally imaginary number field
A. Raghuram
Forum of Mathematics, Sigma, Volume 13

Article
$\mathbf {5 \times 5}$-graded Lie algebras, cubic norm structures and quadrangular algebras
Tom De Medts, Jeroen Meulewaeter
Forum of Mathematics, Sigma, Volume 13

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Other groups of matrices (20Hxx)

View all

Article
CHARACTER VARIETIES, EARTHQUAKES AND ESSENTIAL SURFACES
GRACE SHANTI GARDEN
Bulletin of the Australian Mathematical Society, Volume 112, Issue 2

Article
On some products of groups
Luigi Iorio, Marco Trombetti
Proceedings of the Edinburgh Mathematical Society, Volume 68, Issue 3

Article
Linearity of compact R-analytic groups
Montserrat Casals-Ruiz, Andoni Zozaya
Proceedings of the Edinburgh Mathematical Society, Volume 68, Issue 3

Article
Strongly dense representations of surface groups
D. D. Long, A. W. Reid
Proceedings of the Edinburgh Mathematical Society, Volume 68, Issue 2

Article
Product of two involutions in quaternionic special linear group
Krishnendu Gongopadhyay, Tejbir Lohan, Chandan Maity
Canadian Mathematical Bulletin, Volume 68, Issue 2

Article
LOCALLY NILPOTENT SUBGROUPS OF $\mathrm {GL}_n(D)$
R. FALLAH-MOGHADDAM, H. R. DORBIDI
Bulletin of the Australian Mathematical Society, Volume 112, Issue 1

Article
CONGRUENCE SUBGROUPS OF BRAID GROUPS AND CRYSTALLOGRAPHIC QUOTIENTS. PART I
PAOLO BELLINGERI, CELESTE DAMIANI, OSCAR OCAMPO, CHARALAMPOS STYLIANAKIS
Journal of the Australian Mathematical Society, Volume 118, Issue 2

Article
ENUMERATION OF GROUPS IN SOME SPECIAL VARIETIES OF A-GROUPS
ARUSHI, GEETHA VENKATARAMAN
Bulletin of the Australian Mathematical Society, Volume 111, Issue 1

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Connections with homological algebra and category theory (20jxx)

View all

Article
Higher incoherence of the automorphism groups of a free group
Stefano Vidussi
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
On the structures of the Johnson cokernels of the basis-conjugating automorphism groups of free groups
Naoya Enomoto, Takao Satoh
Glasgow Mathematical Journal, First View

Article
The Hanna Neumann conjecture for graphs of free groups with cyclic edge groups
Sam P. Fisher, Ismael Morales
Compositio Mathematica, Volume 161, Issue 7

Article
Ample Groupoids, Topological Full groups, Algebraic K-theory Spectra and Infinite Loop Spaces
Xin Li
Forum of Mathematics, Pi, Volume 13

Article
Actions of nilpotent groups on nilpotent groups
Michael C. Burkhart
Glasgow Mathematical Journal, Volume 67, Issue 2

Article
Classifying spaces for families of abelian subgroups of braid groups, RAAGs and graphs of abelian groups
Porfirio L. León Álvarez
Glasgow Mathematical Journal, Volume 66, Issue 2

Article
Higher dimensional algebraic fiberings for pro-p groups
Dessislava H. Kochloukova
Canadian Journal of Mathematics, Volume 77, Issue 1

Article
FAITHFULNESS OF THE 2-BRAID GROUP VIA ZIGZAG ALGEBRA IN TYPE B
EDMUND HENG, KIE SENG NGE
Journal of the Australian Mathematical Society, Volume 117, Issue 1

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Abelian groups (20Kxx)

View all

Article
Type invariants for non-abelian odometers
STEVE HURDER, OLGA LUKINA
Ergodic Theory and Dynamical Systems, First View

Article
Functional degrees and arithmetic applications III: beyond prime exponent
PETE L. CLARK, UWE SCHAUZ
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 179, Issue 2

Article
Order-automorphism groups of Archimedean ordered groups
Greg Marks
Canadian Mathematical Bulletin, Volume 68, Issue 2

Article
The Reidemeister spectrum of finite abelian groups
Pieter Senden
Proceedings of the Edinburgh Mathematical Society, Volume 66, Issue 4

Article
ON EQUIVALENCE RELATIONS INDUCED BY LOCALLY COMPACT ABELIAN POLISH GROUPS
LONGYUN DING, YANG ZHENG
The Journal of Symbolic Logic, Volume 90, Issue 1

Article
Abelian groups from random hypergraphs
Andrew Newman
Combinatorics, Probability and Computing, Volume 32, Issue 4

Article
On the dynamics of extensions of free-abelian times free groups endomorphisms to the completion
André Carvalho
Proceedings of the Edinburgh Mathematical Society, Volume 65, Issue 3

Article
On the structure of spectral and tiling subsets of cyclic groups
Romanos Diogenes Malikiosis
Forum of Mathematics, Sigma, Volume 10

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Groupoids (20Lxx)

View all

Article
Uniconnected solutions to the Yang–Baxter equation arising from self-maps of groups
Wolfgang Rump
Canadian Mathematical Bulletin, Volume 65, Issue 1

Article
A VON NEUMANN ALGEBRA CHARACTERIZATION OF PROPERTY (T) FOR GROUPOIDS
MARTINO LUPINI
Journal of the Australian Mathematical Society, Volume 108, Issue 3

Article
Homotopy linear algebra
Imma Gálvez-Carrillo, Joachim Kock, Andrew Tonks
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 148, Issue 2

Article
Representations of triangular subalgebras of groupoid C*-algebras
Paul S. Muhly, Baruch Solel
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, Volume 61, Issue 3

Article
Rigid cohomology of topological groupoids
K. A. MacKenzie
Journal of the Australian Mathematical Society. Series A. Pure Mathematics, Volume 26, Issue 3

Article
Pseudocomplements in groupoids
K. Nirmala Kumari Amma
Journal of the Australian Mathematical Society. Series A. Pure Mathematics, Volume 26, Issue 2

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Semigroups (20Mxx)

View all

Article
Abelianness and centrality in inverse semigroups
Michael Kinyon, David Stanovský
Proceedings of the Edinburgh Mathematical Society, First View

Article
Semigroups of self-similar actions and higher rank Baumslag–Solitar semigroups
Robert Valente, Dilian Yang
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
THE FINITE BASIS PROBLEM FOR FREE TREE MONOIDS
YAN FENG LUO, ZHEN FENG JIN, WEN TING ZHANG
Bulletin of the Australian Mathematical Society, First View

Article
SEMIGROUP CONGRUENCES AND SUBSEMIGROUPS OF THE DIRECT SQUARE
CALLUM BARBER, NIK RUŠKUC
Bulletin of the Australian Mathematical Society, First View

Article
Cartesian closed varieties II: links to algebra and self-similarity
Richard Garner
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
A NOTE ON MAXIMAL ELEMENTS IN NATURALLY ORDERED SEMIGROUPS OF TRANSFORMATIONS WITH AN INVARIANT SET
AZIZAH BAKA, YANISA CHAIYA
Bulletin of the Australian Mathematical Society, First View

Article
ON IDENTITIES OF REES QUOTIENTS OF FREE INVERSE SEMIGROUPS DEFINED BY POSITIVE RELATORS
D. EASDOWN, L. M. SHNEERSON
Journal of the Australian Mathematical Society, Volume 118, Issue 3

Article
A Pride–Guba–Sapir exact sequence for the relation bimodule of an associative algebra
Benjamin Steinberg
Glasgow Mathematical Journal, Volume 67, Issue 3

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Other generalizations of groups (20Nxx)

View all

Article
Boundaries and equivariant maps for ergodic groupoids
Filippo Sarti, Alessio Savini
Glasgow Mathematical Journal, First View

Article
Closed approximate subgroups: compactness, amenability and approximate lattices
Simon Machado
Forum of Mathematics, Sigma, Volume 13

Article
Isomorphisms of quadratic quasigroups
Aleš Drápal, Ian M. Wanless
Proceedings of the Edinburgh Mathematical Society, Volume 66, Issue 4

Article
On the algebra of elliptic curves
Tomasz Brzeziński
Proceedings of the Edinburgh Mathematical Society, Volume 66, Issue 2

Article
CONDITIONAL FLATNESS, FIBERWISE LOCALIZATIONS, AND ADMISSIBLE REFLECTIONS
MARINO GRAN, JÉRÔME SCHERER
Journal of the Australian Mathematical Society, Volume 116, Issue 2

Article
On ρ-conjugate Hopf–Galois structures
Paul J. Truman
Proceedings of the Edinburgh Mathematical Society, Volume 66, Issue 1

Article
ON THE NUMBER OF QUADRATIC ORTHOMORPHISMS THAT PRODUCE MAXIMALLY NONASSOCIATIVE QUASIGROUPS
ALEŠ DRÁPAL, IAN M. WANLESS
Journal of the Australian Mathematical Society, Volume 115, Issue 3

Article
Orderability of link quandles
Hitesh Raundal, Mahender Singh, Manpreet Singh
Proceedings of the Edinburgh Mathematical Society, Volume 64, Issue 3

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Probabilistic methods in group theory (20Pxx)

View all

Article
Uniform models and short curves for random 3-manifolds
Peter Feller, Alessandro Sisto, Gabriele Viaggi
Compositio Mathematica, Volume 161, Issue 3

Article
Base sizes of primitive groups of diagonal type
Hong Yi Huang
Forum of Mathematics, Sigma, Volume 12

Article
On a variant of the product replacement algorithm
C.R. Leedham-Green
Glasgow Mathematical Journal, Volume 66, Issue 1

Article
Żuk’s criterion for Banach spaces and random groups
Izhar Oppenheim
Forum of Mathematics, Sigma, Volume 11

Article
The Asymptotic Statistics of Random Covering Surfaces
Michael Magee, Doron Puder
Forum of Mathematics, Pi, Volume 11

Article
Products of derangements in simple permutation groups
Michael Larsen, Aner Shalev, Pham Huu Tiep
Forum of Mathematics, Sigma, Volume 10

Article
Property (T) in k-gonal random groups
MurphyKate Montee
Glasgow Mathematical Journal, Volume 64, Issue 3

Article
On the commuting probability for subgroups of a finite group
Eloisa Detomi, Pavel Shumyatsky
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 152, Issue 6

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

MSC 2010: Group theory and generalizations

Allow content?

Group theory and generalizations (20-XX)

Allow content?

Foundations (20Axx)

Allow content?

Permutation groups (20Bxx)

Allow content?

Representation theory of groups (20Cxx)

Allow content?

Abstract finite groups (20Dxx)

Allow content?

Structure and classification of infinite or finite groups (20Exx)

Allow content?

Special aspects of infinite or finite groups (20Fxx)

Allow content?

Linear algebraic groups and related topics (20Gxx)

Allow content?

Other groups of matrices (20Hxx)

Allow content?

Connections with homological algebra and category theory (20jxx)

Allow content?

Abelian groups (20Kxx)

Allow content?

Groupoids (20Lxx)

Allow content?

Semigroups (20Mxx)

Allow content?

Other generalizations of groups (20Nxx)

Allow content?

Probabilistic methods in group theory (20Pxx)

Allow content?