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Groups of Lie type and their geometries : Como, 1993 /

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: subgro...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Kantor, W. M. (William M.), 1944-, Di Martino, Lino
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 1995.
Colección:London Mathematical Society lecture note series ; 207.
Temas:
Acceso en línea:Texto completo

MARC

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245 0 0 |a Groups of Lie type and their geometries :  |b Como, 1993 /  |c edited by William M. Kantor, Lino Di Martino. 
260 |a Cambridge ;  |a New York :  |b Cambridge University Press,  |c 1995. 
300 |a 1 online resource. 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a London Mathematical Society lecture note series ;  |v 207 
500 |a Title from PDF title page (viewed on Apr. 9, 2013). 
500 |a Proceedings of a conference held in Como, Italy, June 14-19, 1993. 
504 |a Includes bibliographical references and index. 
520 |a 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. 
505 0 |a Cover; Title; Copyright; Contents; Preface; List of talks; List of participants; Representations of groups on finite simplicial complexes; References; Coxeter groups and matroids; Introduction; 1 Matroids; 2 Grassmann Varieties; 3 Coxeter groups and W P-matroids; 3.1 Coxeter groups and Bruhat ordering; 3.2 Matroids as a partial case of W P-matroids; 4 Tits Systems and Thin Schubert Cells; 5 Coxeter Complexes; 5.1 Galleries and walls; 5.2 The Bruhat Ordering; 5.3 Bruhat Ordering on W/P; 6 W-matroids; Acknowledgements; References 
505 8 |a Finite groups and geometries: A view on the present state and on the future1 Introduction; 1.1 The model: groups of Lie-Che valley type and buildings; 1.2 Rules of experimentation; 1.3 Some good candidates; 2 Conditions at time to = 1991; 2.1 The groups; 2.2 The geometries; 2.3 Experimentation; 2.4 The Tits algorithms; 2.5 The wilderness; 2.6 Maximal subgroups only; 2.7 Restrictions that fail; 3 Conditions at time t1=1992; 4 More subgroups; 5 The near future; References; Groups acting simply transitively on the vertices of a building of type An; 1. Introduction. 
505 8 |a Modular representations of other groups.6. Description of hard embeddings; 7. Existence by computer; 8. Conclusion; References; Flag-transitive extensions of buildings of type G2 and C*3; 1. Introduction; 2. Preliminaries; 3. Extensions of near hexagons; References; Disconnected linear groups and restrictions of representations; 1. Introduction; 2. When W is an irreducible x-module; 3. When x acts reducibly on W; 4. Representations of the symmetric groups; References; Products of conjugacy classes in algebraic groups and generators of dense subgroups; 1. Multiclasses of algebraic groups 
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700 1 |a Kantor, W. M.  |q (William M.),  |d 1944- 
700 1 |a Di Martino, Lino. 
776 0 8 |i Print version:  |t Groups of Lie type and their geometries.  |d Cambridge ; New York : Cambridge University Press, 1995  |w (DLC) 94042947 
830 0 |a London Mathematical Society lecture note series ;  |v 207. 
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