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Groups St Andrews 2009 in Bath

Volume 2

£57.99

Part of London Mathematical Society Lecture Note Series

C. M. Campbell, E. F. Robertson, E. A. O'Brien, Mark Sapir, Dan Segal, Bettina Eick, Alexander Konovalov, Ben Fairbairn, Benjamin Fine, Anthony M. Gaglione, Alexei Myasnikov, Gerhard Rosenberger, Dennis Spellman, L. S. Kazarin, A. Martínez-Pastor, M. D. Pérez-Ramos, Behrooz Khosravi, E. I. Khukhro, Leonid A. Kurdachenko, Javier Otal, Igor Ya. Subbotin, O. Macedońska, W. Tomaszewski, N. V. Maslova, Peter M. Neumann, Danila O. Revin, Evgeny P. Vdovin, Gunnar Traustason, Michael Vaughan-Lee, A. Vera-López, M. A. García-Sánchez, Manoj K. Yadav, Yuliya Zelenyuk
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  • Date Published: June 2011
  • availability: Available
  • format: Paperback
  • isbn: 9780521279048

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About the Authors
  • Groups St Andrews 2009 was held in the University of Bath in August 2009 and this second volume of a two-volume book contains selected papers from the international conference. Five 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 Eammon O'Brien (Auckland), Mark Sapir (Vanderbilt) and Dan Segal (Oxford). 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 30 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: June 2011
    • format: Paperback
    • isbn: 9780521279048
    • length: 302 pages
    • dimensions: 228 x 152 x 16 mm
    • weight: 0.44kg
    • contains: 13 b/w illus.
    • availability: Available
  • Table of Contents

    Introduction C. M. Campbell and E. F. Robertson
    1. Algorithms for matrix groups E. A. O'Brien
    2. Residual properties of 1-relator groups Mark Sapir
    3. Words and groups Dan Segal
    4. The modular isomorphism problem for the groups of order 512 Bettina Eick and Alexander Konovalov
    5. Recent progress in the symmetric generation of groups Ben Fairbairn
    6. Discriminating groups: a comprehensive overview Benjamin Fine, Anthony M. Gaglione, Alexei Myasnikov, Gerhard Rosenberger and Dennis Spellman
    7. Extending the Kegel–Wielandt theorem through π-decomposable groups L. S. Kazarin, A. Martínez-Pastor and M. D. Pérez-Ramos
    8. On the prime graph of a finite group Behrooz Khosravi
    9. Applications of Lie rings with finite cyclic grading E. I. Khukhro
    10. Pronormal subgroups and transitivity of some subgroup properties Leonid A. Kurdachenko, Javier Otal and Igor Ya. Subbotin
    11. On Engel and positive laws O. Macedońska and W. Tomaszewski
    12. Maximal subgroups of odd index in finite groups with simple classical socle N. V. Maslova
    13. Some classic and nearly classic problems on varieties of groups Peter M. Neumann
    14. Generalizations of the Sylow theorem Danila O. Revin and Evgeny P. Vdovin
    15. Engel groups Gunnar Traustason
    16. Lie methods in Engel groups Michael Vaughan-Lee
    17. On the degree of commutativity of p-groups of maximal class A. Vera-López and M. A. García-Sánchez
    18. Class preserving automorphisms of finite p-groups: a survey Manoj K. Yadav
    19. Symmetric colorings of finite groups Yuliya Zelenyuk.

  • Editors

    C. M. Campbell, University of St Andrews, Scotland
    C. M. Campbell is an Honorary Reader in the School of Mathematics and Statistics at the University of St Andrews.

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

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

    C. M. Roney-Dougal, University of St Andrews, Scotland
    C. M. Roney-Dougal is a Senior Lecturer in the School of Mathematics and Statistics at the University of St Andrews.

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

    G. Traustason, University of Bath
    G. Traustason is a Reader in the Department of Mathematical Sciences at the University of Bath.

    Contributors

    C. M. Campbell, E. F. Robertson, E. A. O'Brien, Mark Sapir, Dan Segal, Bettina Eick, Alexander Konovalov, Ben Fairbairn, Benjamin Fine, Anthony M. Gaglione, Alexei Myasnikov, Gerhard Rosenberger, Dennis Spellman, L. S. Kazarin, A. Martínez-Pastor, M. D. Pérez-Ramos, Behrooz Khosravi, E. I. Khukhro, Leonid A. Kurdachenko, Javier Otal, Igor Ya. Subbotin, O. Macedońska, W. Tomaszewski, N. V. Maslova, Peter M. Neumann, Danila O. Revin, Evgeny P. Vdovin, Gunnar Traustason, Michael Vaughan-Lee, A. Vera-López, M. A. García-Sánchez, Manoj K. Yadav, Yuliya Zelenyuk

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