Groups St Andrews 2017 in Birmingham

These proceedings of 'Groups St Andrews 2017' provide a snapshot of the state-of-the-art in contemporary group theory.

C. M. Campbell (Edited by), C. W. Parker (Edited by), M. R. Quick (Edited by), E. F. Robertson (Edited by), C. M. Roney-Dougal (Edited by)

9781108728744, Cambridge University Press

Paperback / softback, published 11 April 2019

508 pages, 10 b/w illus. 18 tables
22.7 x 15.1 x 2.8 cm, 0.71 kg

''This volume does what the editors intended: it provides a 'snapshot of the state of the art in group theory'. It can serve as a reference work for group theorists, and since many of the articles include open problems, can serve as a source of research topics as well.' Charles Traina, MAA Reviews

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.

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 Meleko?lu 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.

Subject Areas: Geometry [PBM], Groups & group theory [PBG], Algebra [PBF]