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Look Inside Groups St Andrews 2017 in Birmingham

Groups St Andrews 2017 in Birmingham

Part of London Mathematical Society Lecture Note Series

Michael Aschbacher, Pierre-Emmanuel Caprace, Radha Kessar, Gunter Malle, Ayoub B. M. Basheer, Jamshid Moori, Gilbert Baumslag, Benjamin Fine, Gerhard Rosenberger, Antonio Beltrán, María José Felipe, Carmen Melchor, William A. Bogley, Martin Edjvet, Gerald Williams, Timothy C. Burness, Donna M. Testerman, A. S. Detinko, D. L. Flannery, Ben Fairbairn, Ana Martínez-Pastor, Víctor Manuel Ortiz-Sotomayor, Harald A. Helfgott, Andrei Jaikin-Zapirain, Anatoly Kondrat'ev, Natalia Maslova, Danila Revin, Anatoly S. Kondrat'ev, Vladimir I. Trofimov, Tung Le, Kay Magaard, Alessandro Paolini, Adnan Melekoğlu, David Singerman, Péter P. Pálfy, B. G. Rodrigues, T. M. Mudziiri Shumba, Ilir Snopce, Slobodan Tanushevski
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  • Publication planned for: July 2019
  • availability: Not yet published - available from July 2019
  • format: Paperback
  • isbn: 9781108728744

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About the Authors
  • Every four years leading researchers gather to survey the latest developments in all aspects of group theory. Initially held in St Andrews, these meetings have become the premier forum for group theory across the whole of the UK. Since 1981, the proceedings of 'Groups St Andrews' have provided a regular snapshot of the state-of-the-art in group theory and helped to shape the direction of research in the field. This volume contains papers from the 2017 meeting held in Birmingham. It includes expository articles from the invited speakers, and further surveys contributed by the participants. Topics include: generation of finite simple groups, block theory, fusion systems, algebraic groups, one-relator groups, geometric group theory, and Beauville groups.

    • Presents an excellent overview of contemporary group theory, suitable for researchers and graduate students
    • Includes expository articles on major themes by leading researchers in group theory
    • Contains peer-reviewed papers on the latest developments
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    Product details

    • Publication planned for: July 2019
    • format: Paperback
    • isbn: 9781108728744
    • length: 508 pages
    • dimensions: 227 x 151 x 28 mm
    • weight: 0.71kg
    • contains: 10 b/w illus. 18 tables
    • availability: Not yet published - available from July 2019
  • Table of Contents

    Introduction
    1. Finite simple groups and fusion systems Michael Aschbacher
    2. Finite and infinite quotients of discrete and indiscrete groups Pierre-Emmanuel Caprace
    3. Local-global conjectures and blocks of finite simple groups Radha Kessar and Gunter Malle
    4. A survey on some methods of generating finite simple groups Ayoub B. M. Basheer and Jamshid Moori
    5. One-relator groups: an overview Gilbert Baumslag, Benjamin Fine and Gerhard Rosenberger
    6. New progress in products of conjugacy classes in finite groups Antonio Beltrán, María José Felipe and Carmen Melchor
    7. Aspherical relative presentations all over again William A. Bogley, Martin Edjvet and Gerald Williams
    8. Simple groups, generation and probabilistic methods Timothy C. Burness
    9. Irreducible subgroups of simple algebraic groups – a survey Timothy C. Burness and Donna M. Testerman
    10. Practical computation with linear groups over infinite domains A. S. Detinko and D. L. Flannery
    11. Beauville p-groups: a survey Ben Fairbairn
    12. Structural criteria in factorised groups via conjugacy class sizes María José Felipe, Ana Martínez-Pastor and Víctor Manuel Ortiz-Sotomayor
    13. Growth in linear algebraic groups and permutation groups: towards a unified perspective Harald A. Helfgott
    14. L2-Betti numbers and their analogues in positive characteristic Andrei Jaikin-Zapirain
    15. On the pronormality of subgroups of odd index in finite simple groups Anatoly Kondrat'ev, Natalia Maslova and Danila Revin
    16. Vertex stabilizers of graphs with primitive automorphism groups and a strong version of the Sims conjecture Anatoly S. Kondrat'ev and Vladimir I. Trofimov
    17. On the character degrees of a Sylow p-subgroup of a finite Chevalley group G(pf) over a bad prime Tung Le, Kay Magaard and Alessandro Paolini
    18. Patterns on symmetric Riemann surfaces Adnan Melekoğlu and David Singerman
    19. Subgroups of twisted wreath products Péter P. Pálfy
    20. Some remarks on self-dual codes invariant under almost simple permutation groups B. G. Rodrigues and T. M. Mudziiri Shumba
    21. Test elements: from pro-p to discrete groups Ilir Snopce and Slobodan Tanushevski.

  • Editors

    C. M. Campbell, University of St Andrews, Scotland
    C. M. Campbell is Honorary Reader in the School of Mathematics and Statistics at the University of St Andrews, Scotland. He has co-organised ten Groups St Andrews conferences.

    C. W. Parker, University of Birmingham
    M. R. Quick is Senior Lecturer in the School of Mathematics and Statistics at the University of St Andrews, Scotland. He has co-organised four Groups St Andrews conferences, and he is Deputy Convener of the Proceedings of the Edinburgh Mathematical Society.

    M. R. Quick, University of St Andrews, Scotland
    C. W. Parker is Professor in the School of Mathematics at the University of Birmingham. He is Editor-in-Chief of the Journal of Group Theory.

    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, Scotland.

    C. M. Roney-Dougal, University of St Andrews, Scotland
    C. M. Roney-Dougal is Professor in the School of Mathematics and Statistics at the University of St Andrews, Scotland. She is an editor of the Proceedings of the Royal Society of Edinburgh, Section A and a frequent guest on BBC Radio 4's In Our Time.

    Contributors

    Michael Aschbacher, Pierre-Emmanuel Caprace, Radha Kessar, Gunter Malle, Ayoub B. M. Basheer, Jamshid Moori, Gilbert Baumslag, Benjamin Fine, Gerhard Rosenberger, Antonio Beltrán, María José Felipe, Carmen Melchor, William A. Bogley, Martin Edjvet, Gerald Williams, Timothy C. Burness, Donna M. Testerman, A. S. Detinko, D. L. Flannery, Ben Fairbairn, Ana Martínez-Pastor, Víctor Manuel Ortiz-Sotomayor, Harald A. Helfgott, Andrei Jaikin-Zapirain, Anatoly Kondrat'ev, Natalia Maslova, Danila Revin, Anatoly S. Kondrat'ev, Vladimir I. Trofimov, Tung Le, Kay Magaard, Alessandro Paolini, Adnan Melekoğlu, David Singerman, Péter P. Pálfy, B. G. Rodrigues, T. M. Mudziiri Shumba, Ilir Snopce, Slobodan Tanushevski

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