Book contents
- Frontmatter
- Contents
- Preface
- 1 Finite Groups of Lie Type
- 2 Simple Modules
- 3 Weyl Modules and Lusztig's Conjecture
- 4 Computation of Weight Multiplicities
- 5 Other Aspects of Simple Modules
- 6 Tensor Products
- 7 BN-Pairs and Induced Modules
- 8 Blocks
- 9 Projective Modules
- 10 Comparison with Frobenius Kernels
- 11 Cartan Invariants
- 12 Extensions of Simple Modules
- 13 Loewy Series
- 14 Cohomology
- 15 Complexity and Support Varieties
- 16 Ordinary and Modular Representations
- 17 Deligne–Lusztig Characters
- 18 The Groups G2(q)
- 19 General and Special Linear Groups
- 20 Suzuki and Ree Groups
- Bibliography
- Frequently Used Symbols
- Index
18 - The Groups G2(q)
Published online by Cambridge University Press: 23 November 2009
- Frontmatter
- Contents
- Preface
- 1 Finite Groups of Lie Type
- 2 Simple Modules
- 3 Weyl Modules and Lusztig's Conjecture
- 4 Computation of Weight Multiplicities
- 5 Other Aspects of Simple Modules
- 6 Tensor Products
- 7 BN-Pairs and Induced Modules
- 8 Blocks
- 9 Projective Modules
- 10 Comparison with Frobenius Kernels
- 11 Cartan Invariants
- 12 Extensions of Simple Modules
- 13 Loewy Series
- 14 Cohomology
- 15 Complexity and Support Varieties
- 16 Ordinary and Modular Representations
- 17 Deligne–Lusztig Characters
- 18 The Groups G2(q)
- 19 General and Special Linear Groups
- 20 Suzuki and Ree Groups
- Bibliography
- Frequently Used Symbols
- Index
Summary
- Type
- Chapter
- Information
- Modular Representations of Finite Groups of Lie Type , pp. 185 - 196Publisher: Cambridge University PressPrint publication year: 2005