Groups St Andrews 2017 in Birmingham (eBook, ePUB)

Redaktion: Campbell, C. M.

• Format: ePub

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 11. April 2019
• Englisch
• ISBN-13: 9781108602839
• Artikelnr.: 56548342

Inhaltsangabe

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 Melekölu 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.