Groups St Andrews 2017 in Birmingham

ISBN-13: 9781108728744 / Angielski / Miękka / 2019 / 508 str.

C. M. Campbell; M. R. Quick; C. W. Parker

Opis

This volume arises from the 2017 edition of the long-running 'Groups St Andrews' conference series and consists of expository papers from leading researchers in all areas of group theory. It provides a snapshot of the state-of-the-art in the field, and it will be a valuable resource for researchers and graduate students.

Recenzje

''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

Spis treści

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.