Groups of Lie Type and their Geometries de William M. Kantor

Groups of Lie Type and their Geometries: London Mathematical Society Lecture Note Series, cartea 207

William M. Kantor

Lino Di Martino

en Limba Engleză Paperback – 11 ian 1995

Presented here are papers from the 1993 Como meeting on groups of Lie type and their geometries. The meeting was attended by many leading figures, as well as younger researchers in this area, and this book brings together many of their excellent contributions. 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.

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Cuprins

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; 14. Embeddings and hyperplanes of Lie incidence geometry Ernest E. Shult; 15. Intermediate subgroups in Chevalley groups Nikolai Vavilov; 16. Economical generating sets for finite simple groups John S. Wilson.