Groups of Lie Type and their Geometries [Paperback]

Presented here are papers from the 1993 Como meeting on groups of Lie type and their geometries.Presented at the 1993 Como meeting on groups of Lie type and their geometries, these papers cover: subgroups of finite and algebraic groups, buildings and other geometries associated to groups of Lie type or Coxeter groups, generation, and applications.Presented at the 1993 Como meeting on groups of Lie type and their geometries, these papers cover: subgroups of finite and algebraic groups, buildings and other geometries associated to groups of Lie type or Coxeter groups, generation, and applications.This book contains papers presented at the 1993 Como meeting on groups of Lie type and their geometries. Themes represented here include: subgroups of finite and algebraic groups, buildings and other geometries associated to groups of Lie type or Coxeter groups, generation, and applications. This book will be a necessary addition to the library of all researchers in group theory and related areas.1. Representations of groups on finite simplical complexes Michael Aschbacker; 2. Coxeter groups and matroids Alexandre V. Borovik and K. Sian Roberts; 3. Finite groups and geometries Francis Buckenhout; 4. Groups acting simply transitively on the vertices of a building of type A Donald I. Cartwright; 5. Finite simple subgroups of semisimple complex Lie groups - a survey Arjeh M. Cohen and David B. Wales; 6. Flag-transitive extensions of buildings of type G2 and C3 Hans Cuypers; 7. Disconnected linear groups and restrictions of representations Ben Ford; 8. Products of conjugacy classes in algebraic groups and generators of dense subgroups Nikolai L. Gordeev; 9. Monodromy groups of polynomials Robert M. Guralnick and Jan Sazl; 10. Subgroups of exceptional algebraic groups Martin Lieback and Gary M. Seitz; 11. The geometry of traces in Ree octagons H. Van Maldeghem; 12. Small rank exceptional Hurwitz groups Gunter Malle; 13. The direct sum problem for Chamber systems Antonio Pasini; 1l“i