Book contents
- Frontmatter
- Contents
- Preface
- List of talks
- List of participants
- Representations of groups on finite simplicial complexes
- Coxeter groups and matroids
- Finite groups and geometries: A view on the present state and on the future
- Groups acting simply transitively on the vertices of a building of type Ãn
- Finite simple subgroups of semisimple complex Lie groups – a survey
- Flag-transitive extensions of buildings of type G2 and C3*
- Disconnected linear groups and restrictions of representations
- Products of conjugacy classes in algebraic groups and generators of dense subgroups
- Monodromy groups of polynomials
- Subgroups of exceptional algebraic groups
- The geometry of traces in Ree octagons
- Small rank exceptional Hurwitz groups
- The direct sum problem for chamber systems
- Embeddings and hyperplanes of Lie incidence geometries
- Intermediate subgroups in Chevalley groups
- On a certain class of Frattini extensions of finite Chevalley groups
- Economical generating sets for finite simple groups
Preface
Published online by Cambridge University Press: 06 January 2010
- Frontmatter
- Contents
- Preface
- List of talks
- List of participants
- Representations of groups on finite simplicial complexes
- Coxeter groups and matroids
- Finite groups and geometries: A view on the present state and on the future
- Groups acting simply transitively on the vertices of a building of type Ãn
- Finite simple subgroups of semisimple complex Lie groups – a survey
- Flag-transitive extensions of buildings of type G2 and C3*
- Disconnected linear groups and restrictions of representations
- Products of conjugacy classes in algebraic groups and generators of dense subgroups
- Monodromy groups of polynomials
- Subgroups of exceptional algebraic groups
- The geometry of traces in Ree octagons
- Small rank exceptional Hurwitz groups
- The direct sum problem for chamber systems
- Embeddings and hyperplanes of Lie incidence geometries
- Intermediate subgroups in Chevalley groups
- On a certain class of Frattini extensions of finite Chevalley groups
- Economical generating sets for finite simple groups
Summary
The June 14–19, 1993, conference on Groups of Lie Type and their Geometries took place in Como, Italy, at the lovely 18th century Villa Olmo on the scenic shore of Lake Como. It brought together experts and interested mathematicians from numerous countries. The scientific program centered around invited expository lectures; there also were short research announcements, including talks by younger researchers.
The conference focused on both the structure theory and the geometry of groups of Lie type, with emphasis on recent results and open problems. Special attention was drawn not only to the interplay between group-theoretic methods and geometric and combinatorial aspects of groups of Lie type, but also to important and occasionally unexpected connections with other branches of mathematics.
Expanded versions of most of the talks appear in these Proceedings. This volume is intended to provide a stimulating collection of themes for a broad range of algebraists and geometers. Among those themes, represented within the conference or these Proceedings, are the following: (1) Subgroups of finite and algebraic groups, (2) Buildings and other geometries associated to groups of Lie type or Coxeter groups, (3) Generation, and (4) Applications.
We are grateful to the authors for their efforts in providing us with manuscripts in TEX. Roger Astley, Mathematics Editor of Cambridge University Press, has been very helpful and supportive throughout the prepration of this volume.
The organizing committee consisted of L. Di Martino (Milan), W. M. Kantor (Eugene), 0. H. Kegel (Freiburg), and L. A. Rosati (Florence).
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- Groups of Lie Type and their Geometries , pp. vii - viiiPublisher: Cambridge University PressPrint publication year: 1995
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