Book contents
- Frontmatter
- Contents
- Preface
- List of tables
- Notation
- PART I LINEAR ALGEBRAIC GROUPS
- PART II SUBGROUP STRUCTURE AND REPRESENTATION THEORY OF SEMISIMPLE ALGEBRAIC GROUPS
- PART III FINITE GROUPS OF LIE TYPE
- 21 Steinberg endomorphisms
- 22 Classification of finite groups of Lie type
- 23 Weyl group, root system and root subgroups
- 24 A BN-pair for GF
- 25 Tori and Sylow subgroups
- 26 Subgroups of maximal rank
- 27 Maximal subgroups of finite classical groups
- 28 About the classes and S
- 29 Exceptional groups of Lie type
- 30 Exercises for Part III
- Appendix A Root systems
- Appendix B Subsystems
- Appendix C Automorphisms of root systems
- References
- Index
22 - Classification of finite groups of Lie type
from PART III - FINITE GROUPS OF LIE TYPE
Published online by Cambridge University Press: 05 June 2012
Book contents
- Frontmatter
- Contents
- Preface
- List of tables
- Notation
- PART I LINEAR ALGEBRAIC GROUPS
- PART II SUBGROUP STRUCTURE AND REPRESENTATION THEORY OF SEMISIMPLE ALGEBRAIC GROUPS
- PART III FINITE GROUPS OF LIE TYPE
- 21 Steinberg endomorphisms
- 22 Classification of finite groups of Lie type
- 23 Weyl group, root system and root subgroups
- 24 A BN-pair for GF
- 25 Tori and Sylow subgroups
- 26 Subgroups of maximal rank
- 27 Maximal subgroups of finite classical groups
- 28 About the classes and S
- 29 Exceptional groups of Lie type
- 30 Exercises for Part III
- Appendix A Root systems
- Appendix B Subsystems
- Appendix C Automorphisms of root systems
- References
- Index
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- Linear Algebraic Groups and Finite Groups of Lie Type , pp. 188 - 196Publisher: Cambridge University PressPrint publication year: 2011