Book contents
- Frontmatter
- Contents
- Preface
- 1 Introduction
- I ELEMENTARY RESULTS
- II GROUPS OF PRIME POWER ORDER
- III PYBER'S THEOREM
- 6 Some more preliminaries
- 7 Group extensions and cohomology
- 8 Some representation theory
- 9 Primitive soluble linear groups
- 10 The orders of groups
- 11 Conjugacy classes of maximal soluble subgroups of symmetric groups
- 12 Enumeration of finite groups with abelian Sylow subgroups
- 13 Maximal soluble linear groups
- 14 Conjugacy classes of maximal soluble subgroups of the general linear groups
- 15 Pyber's theorem: the soluble case
- 16 Pyber's theorem: the general case
- IV OTHER TOPICS
- Appendix A Maximising two functions
- References
- Index
10 - The orders of groups
from III - PYBER'S THEOREM
Published online by Cambridge University Press: 12 January 2010
Book contents
- Frontmatter
- Contents
- Preface
- 1 Introduction
- I ELEMENTARY RESULTS
- II GROUPS OF PRIME POWER ORDER
- III PYBER'S THEOREM
- 6 Some more preliminaries
- 7 Group extensions and cohomology
- 8 Some representation theory
- 9 Primitive soluble linear groups
- 10 The orders of groups
- 11 Conjugacy classes of maximal soluble subgroups of symmetric groups
- 12 Enumeration of finite groups with abelian Sylow subgroups
- 13 Maximal soluble linear groups
- 14 Conjugacy classes of maximal soluble subgroups of the general linear groups
- 15 Pyber's theorem: the soluble case
- 16 Pyber's theorem: the general case
- IV OTHER TOPICS
- Appendix A Maximising two functions
- References
- Index
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- Enumeration of Finite Groups , pp. 94 - 97Publisher: Cambridge University PressPrint publication year: 2007