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Groups St Andrews 2005

Groups St Andrews 2005

Volume 2

$76.99 (C)

Part of London Mathematical Society Lecture Note Series

John Meakin, Ákos Seress, Habtay Ghebrewold, Maryam Ghorbany, S. P. Glasby, A. M. W. Glass, Vincenzo Marra, Daniele Mundici, George Glauberman, Akbar Golchin, George Havas, Colin Ramsay, M. R. Vaughan-Lee, Marcel Herzog, Gil Kaplan, Arieh Lev, Waldemar Holubowski, Peter Hubert, Milagros Izquierdo, Daniel Ying, A. Jafarzadeh, A. Iranmanesh, Dan Levy, Luise-Charlotte Kappe, Robert Fitzgerald Morse, Saeed Kayvanfar, Evgeny Khukhro, Victor Mazurov, Anatoly S. Kondratiev, Leonid A. Kurdachenko, Javier Otal, Igor Ya. Subbotin, Karl Lorensen, Maria Silvia Lucido, O. Macedonska, G. A. Moghani, A. R. Ashrafi, M. R. Admadi, Z. Mostaghim, Lucia Sanus, W. J. Shi, X. Soler-Escrivà, Th. Weigel, Lawrence Wilson
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  • Date Published: February 2007
  • availability: Available
  • format: Paperback
  • isbn: 9780521694704

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About the Authors
  • 'Groups St Andrews 2005' was held in the University of St Andrews in August 2005 and this second 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 John Meakin (Lincoln, Nebraska) and Ákos Seress (Ohio State). 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: February 2007
    • format: Paperback
    • isbn: 9780521694704
    • length: 350 pages
    • dimensions: 228 x 152 x 20 mm
    • weight: 0.503kg
    • contains: 20 b/w illus. 16 tables 16 exercises
    • availability: Available
  • Table of Contents

    Introduction
    1. Groups and semigroups: connections and contrasts John Meakin
    2. Toward the classification of s-arc transitive graphs Ákos Seress
    3. Non-cancellation group computation for some finitely generated nilpotent groups Habtay Ghebrewold
    4. Permutation and quasi-permutation representations of the Chevalley groups Maryam Ghorbany
    5. The shape of solvable groups with odd order S. P. Glasby
    6. Embedding in finitely presented lattice-ordered groups: explicit presentations for constructions A. M. W. Glass, Vincenzo Marra and Daniele Mundici
    7. A note on abelian subgroups of p-groups George Glauberman
    8. On kernel flatness Akbar Golchin
    9. On proofs in finitely presented groups George Havas and Colin Ramsay
    10. Computing with 4-Engel groups George Havas and M. R. Vaughan-Lee
    11. On the size of the commutator subgroup in finite groups Marcel Herzog, Gil Kaplan and Arieh Lev
    12. Groups of infinite matrices Waldemar Holubowski
    13. Triply factorised groups and nearrings Peter Hubert
    14. On the space of cyclic trigonal Riemann surfaces of genus 4 Milagros Izquierdo and Daniel Ying
    15. On simple Kn-groups for n = 5, 6 A. Jafarzadeh and A. Iranmanesh
    16. Products of Sylow subgroups and the solvable radical Gil Kaplan and Dan Levy
    17. On commutators in groups Luise-Charlotte Kappe and Robert Fitzgerald Morse
    18. Inequalities for the Baer invariant of finite groups Saeed Kayvanfar
    19. Automorphisms with centralizers of small rank Evgeny Khukhro and Victor Mazurov
    20. 2-signalizers and normalizers of Sylow 2-subgroups in finite simple groups Anatoly S. Kondratiev and Victor D. Mazurov
    21. On properties of abnormal and pronormal subgroups in some infinite groups Leonid A. Kurdachenko, Javier Otal and Igor Ya. Subbotin
    22. P-localizing group extensions Karl Lorensen
    23. On the n-covers of exceptional groups of Lie type Maria Silvia Lucido
    24. Positively discriminating groups O. Macedonska
    25. Automorphism groups of some chemical graphs G. A. Moghani, A. R. Ashrafi and M. R. Admadi
    26. On c-normal subgroups of some classes of finite groups Z. Mostaghim
    27. Fong characters and their fields of values Lucia Sanus
    28. Arithmetical properties of finite groups W. J. Shi
    29. On prefrattini subgroups of finite groups: a survey X. Soler-Escrivà
    30. Frattini extensions and class field theory Th. Weigel
    31. The nilpotency class of groups with fixed point free automorphisms of prime order Lawrence Wilson.

  • 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

    John Meakin, Ákos Seress, Habtay Ghebrewold, Maryam Ghorbany, S. P. Glasby, A. M. W. Glass, Vincenzo Marra, Daniele Mundici, George Glauberman, Akbar Golchin, George Havas, Colin Ramsay, M. R. Vaughan-Lee, Marcel Herzog, Gil Kaplan, Arieh Lev, Waldemar Holubowski, Peter Hubert, Milagros Izquierdo, Daniel Ying, A. Jafarzadeh, A. Iranmanesh, Dan Levy, Luise-Charlotte Kappe, Robert Fitzgerald Morse, Saeed Kayvanfar, Evgeny Khukhro, Victor Mazurov, Anatoly S. Kondratiev, Leonid A. Kurdachenko, Javier Otal, Igor Ya. Subbotin, Karl Lorensen, Maria Silvia Lucido, O. Macedonska, G. A. Moghani, A. R. Ashrafi, M. R. Admadi, Z. Mostaghim, Lucia Sanus, W. J. Shi, X. Soler-Escrivà, Th. Weigel, Lawrence Wilson

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