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Groups St Andrews 2005

Groups St Andrews 2005

Volume 1

£56.00

Part of London Mathematical Society Lecture Note Series

Peter J. Cameron, Rostislav Grigorchuk, Zoran Sunic, Peter Ackermann, Benjamin Fine, Gerhard Rosenberger, Bernhard Amberg, Lev Kazarin, Ali Reza Ashrafi, Bijan Taeri, Bjoern Assmann, Firat Ates, A. Sinan Çevik, Czeslaw Baginski, Alexander Konovalov, A. Ballester-Bolinches, Clara Calvo, R. Esteban-Romero, John Cossey, M. C. Pedraza-Aguilera, A. Ballester-Bolinches, H. Heineken, Tatiana Pedraza, Ayala Bar-Ilan, Tzviya Berrebi, Genadi Chereshnya, Ruth Leabovich, Mikhal Cohen, Mary Schaps, Antonio Beltrán, Maria José Felipé, Robert Boltje, Götz Pfeiffer, Victor Bovdi, Alexander Konovalov, B. Brewster, A. Martinez-Pastor, M. D. Pérez-Ramos, Alan J. Cain, David Chillag, Marcel Herzog, Martin Cook, Jill Dietz, Martyn R. Dixon, Leonid A. Kurdachenko, Murray Elder, Benjamin Fine, Anthony M. Gaglione, Dennis Spellman, Ana R. Fonseca, Duncan W. Parkes, Richard M. Thomas, Eric M. Freden, Teresa Knudson
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  • Date Published: January 2007
  • availability: In stock
  • format: Paperback
  • isbn: 9780521694698

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About the Authors
  • 'Groups St Andrews 2005' was held in the University of St Andrews in August 2005 and this first volume of a two-volume book contains selected papers from the international conference. Four main lecture courses were given at the conference, and articles based on their lectures form a substantial part of the Proceedings. This volume contains the contributions by Peter Cameron (Queen Mary, London) and Rostislav Grogorchuk (Texas A&M, USA). Apart from the main speakers, refereed survey and research articles were contributed by other conference participants. Arranged in alphabetical order, these articles cover a wide spectrum of modern group theory. The regular Proceedings of Groups St Andrews conferences have provided snapshots of the state of research in group theory throughout the past 25 years. Earlier volumes have had a major impact on the development of group theory and it is anticipated that this volume will be equally important.

    • Contains expository articles by leading mathematicians in group theory
    • Forms part of an extensive four-yearly series of such volumes which have shaped the direction of research in group theory
    • Provides a snapshot of the state of research in group theory
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    Product details

    • Date Published: January 2007
    • format: Paperback
    • isbn: 9780521694698
    • length: 366 pages
    • dimensions: 228 x 152 x 19 mm
    • weight: 0.512kg
    • contains: 41 b/w illus. 3 tables 40 exercises
    • availability: In stock
  • Table of Contents

    Introduction
    1. Aspects of infinite permutation groups Peter J. Cameron
    2. Self-similarity and branching in group theory Rostislav Grigorchuk and Zoran Sunic
    3. On surface groups: motivating examples in combinatorial group theory Peter Ackermann, Benjamin Fine and Gerhard Rosenberger
    4. Nilpotent p-algebras and factorized p-groups Bernhard Amberg and Lev Kazarin
    5. Classification of finite groups by the number of element centralizers Ali Reza Ashrafi and Bijan Taeri
    6. Algorithmic use of the Mal'cev correspondence Bjoern Assmann
    7. Minimal but inefficient presentations for semi-direct products of finite cyclic monoids Firat Ates and A. Sinan Ç evik
    8. The modular isomorphism problem for finite p-groups with a cyclic subgroup of index p2 Czeslaw Baginski and Alexander Konovalov
    9. On one-generated formations A. Ballester-Bolinches, Clara Calvo and R. Esteban-Romero
    10. New results on products of finite groups A. Ballester-Bolinches, John Cossey and M. C. Pedraza-Aguilera
    11. Radical locally finite T-groups A. Ballester-Bolinches, H. Heineken and Tatiana Pedraza
    12. Explicit tilting complexes for the Broué conjecture on 3-blocks Ayala Bar-Ilan, Tzviya Berrebi, Genadi Chereshnya, Ruth Leabovich, Mikhal Cohen and Mary Schaps
    13. Conjugacy classes of p-regular elements in p-solvable groups Antonio Beltrán and Maria José Felipé
    14. An algorithm for the unit group of the Burnside ring of a finite group Robert Boltje and Götz Pfeiffer
    15. Integral group ring of the first Mathieu simple group Victor Bovdi and Alexander Konovalov
    16. Embedding properties in direct products B. Brewster, A. Martinez-Pastor and M. D. Pérez-Ramos
    17. Malcev presentations for subsemigroups of groups - a survey Alan J. Cain
    18. Finite groups with extremal conditions on sizes of conjugacy classes and on degrees of irreducible characters David Chillag and Marcel Herzog
    19. Conjugacy class structure in simple algebraic groups Martin Cook
    20. On automorphisms of products of groups Jill Dietz
    21. Linear groups with infinite central dimension Martyn R. Dixon and Leonid A. Kurdachenko
    22. G-automata, counter languages and the Chomsky hierarchy Murray Elder
    23. An embedding theorem for groups universally equivalent to free nilpotent groups Benjamin Fine, Anthony M. Gaglione and Dennis Spellman
    24. Irreducible word problems in groups Ana R. Fonseca, Duncan W. Parkes and Richard M. Thomas
    25. Recent growth results Eric M. Freden and Teresa Knudson.

  • Editors

    C. M. Campbell, University of St Andrews, Scotland
    Colin Campbell is a Reader in Pure Mathematics at the School of Mathematics and Statistics, University of St Andrews.

    M. R. Quick, University of St Andrews, Scotland
    Martyn Quick is a Lecturer in Pure Mathematics at the School of Mathematics and Statistics, University of St Andrews.

    E. F. Robertson, University of St Andrews, Scotland
    Edmund Robertson is a Professor of Mathematics at the School of Mathematics and Statistics, University of St Andrews.

    G. C. Smith, University of Bath
    Geoff Smith is a Senior Lecturer at the Department of Mathematical Sciences, University of Bath.

    Contributors

    Peter J. Cameron, Rostislav Grigorchuk, Zoran Sunic, Peter Ackermann, Benjamin Fine, Gerhard Rosenberger, Bernhard Amberg, Lev Kazarin, Ali Reza Ashrafi, Bijan Taeri, Bjoern Assmann, Firat Ates, A. Sinan Çevik, Czeslaw Baginski, Alexander Konovalov, A. Ballester-Bolinches, Clara Calvo, R. Esteban-Romero, John Cossey, M. C. Pedraza-Aguilera, A. Ballester-Bolinches, H. Heineken, Tatiana Pedraza, Ayala Bar-Ilan, Tzviya Berrebi, Genadi Chereshnya, Ruth Leabovich, Mikhal Cohen, Mary Schaps, Antonio Beltrán, Maria José Felipé, Robert Boltje, Götz Pfeiffer, Victor Bovdi, Alexander Konovalov, B. Brewster, A. Martinez-Pastor, M. D. Pérez-Ramos, Alan J. Cain, David Chillag, Marcel Herzog, Martin Cook, Jill Dietz, Martyn R. Dixon, Leonid A. Kurdachenko, Murray Elder, Benjamin Fine, Anthony M. Gaglione, Dennis Spellman, Ana R. Fonseca, Duncan W. Parkes, Richard M. Thomas, Eric M. Freden, Teresa Knudson

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