Cover Image

Groups St. Andrews 2017 in Birmingham / edited by C.M. Campbell, C.W. Parker, M.R. Quick, E.F. Robertson, C.M. Roney-Dougal.

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 prov...

Full description

Saved in:
Bibliographic Details
Online Access: Full Text (via Cambridge)
Corporate Author: Groups St. Andrews (Conference) University of Birmingham)
Other Authors: Campbell, C. M., 1942- (Editor), Parker, Christopher, 1961- (Editor), Quick, M. R. (Martyn R.) (Editor), Robertson, E. F. (Editor), Roney-Dougal, Colva Mary (Editor)
Format: Electronic Conference Proceeding eBook
Language:English
Published: Cambridge, United Kingdom ; New York, NY, USA : Cambridge University Press, 2019.
Series:London Mathematical Society lecture note series ; 455.
Subjects:
Group theory > Congresses.
Algebra > Congresses.
Algebra.
Group theory.
Conference papers and proceedings.
Table of Contents:
  • Cover
  • Series page
  • Title page
  • Copyright page
  • Contents
  • Introduction
  • Finite simple groups and fusion systems
  • Fusion systems
  • Luis Puig, modular representation theory, and algebraic topology
  • A functor
  • A local theory of fusion systems
  • Generation
  • Factor systems
  • Finite simple groups
  • The generalized Fitting subgroup
  • Normal subsystems
  • Beginning the program
  • The class K of known simple 2-fusion systems
  • Tame realization
  • Intrinsic members of C(F)
  • J-components
  • Odd simple groups
  • Even groups and 2-fusion systems
  • References
  • Finite and infinite quotients of discrete and indiscrete groups
  • Abstract
  • 1 Just-infiniteness versus SQ-universality
  • 2 Finitely generated infinite simple groups: historical landmarks
  • 2.1 The first existence proof, after G. Higman
  • 2.2 The first explicit family, after R. Camm
  • 2.3 The first finitely presented infinite simple group, after R. Thompson
  • 2.4 Quotients of free amalgamated products of free groups
  • 3 Kneser's simplicity conjecture
  • 3.1 The multiplicative group of the Hamiltonian quaternions
  • 3.2 The Margulis Normal Subgroup Theorem
  • 3.3 Finite quotients of the multiplicative group of a division algebra
  • 4 Lattices in products of trees, after M. Burger, S. Mozes and D. Wise
  • 4.1 BMW-groups
  • 4.2 Examples of BMW-groups of small degree
  • 4.3 Inseparability and irreducibility
  • 4.4 Anti-tori and irreducibility
  • 4.5 Local actions and irreducibility
  • 4.6 Residual finiteness
  • 4.7 The Normal Subgroup Theorem, after U. Bader and Y. Shalom
  • 4.8 Alternating and fully symmetric local actions
  • 4.9 Virtually simple BMW-groups of small degree
  • 4.10 The hyperbolic manifold analogy
  • 4.11 Local actions of just-infinite groups acting on trees
  • 4.12 Lattices in products of more than two trees
  • 5 Quotients of hyperbolic groups and asymptotic properties of finite simple groups
  • 5.1 Examples of hyperbolic groups
  • 5.2 Finite and infinite quotients of hyperbolic groups
  • 5.3 Hyperbolic quotients of hyperbolic groups, after A. Olshanskii
  • 5.4 The space of marked groups
  • 5.5 Examples of fully residually finite simple groups
  • 5.6 Virtual specialties, after I. Agol, F. Haglund and D. Wise
  • Acknowledgements
  • References
  • Local-global conjectures and blocks of simple groups
  • Abstract
  • 1 Introduction
  • 2 The fundamental conjectures
  • 2.1 The McKay conjecture
  • 2.2 The local-global conjectures
  • 2.3 The reduction approach
  • 2.4 McKay's conjecture for GLn(q)
  • 2.5 Groups of Lie type
  • 2.6 Characters of groups of Lie type
  • 2.7 Towards McKay's conjecture for groups of Lie type
  • 3 Blocks and characters of finite simple groups
  • 3.1 Local block theory
  • 3.2 Blocks of groups of Lie type in non-defining characteristic
  • 3.3 Lusztig series and Bonnafé-Rouquier reduction

Similar Items