Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- 1 Introduction
- Part I Permutation groups: Fundamentals
- 2 Group actions and permutation groups
- 3 Minimal normal subgroups of transitive permutation groups
- 4 Finite direct products of groups
- 5 Wreath products
- 6 Twisted wreath products
- 7 O’Nan–Scott Theory and the maximal subgroups of finite alternating and symmetric groups
- Part II Innately transitive groups: Factorisations and cartesian decompositions
- 8 Cartesian factorisations
- 9 Transitive cartesian decompositions for innately transitive groups
- 10 Intransitive cartesian decompositions
- Part III Cartesian decompositions: Applications
- 11 Applications in permutation group theory
- 12 Applications to graph theory
- Appendix Factorisations of simple and characteristically simple groups
- References
- Glossary
- Index
8 - Cartesian factorisations
Published online by Cambridge University Press: 08 June 2018
- Frontmatter
- Dedication
- Contents
- Preface
- 1 Introduction
- Part I Permutation groups: Fundamentals
- 2 Group actions and permutation groups
- 3 Minimal normal subgroups of transitive permutation groups
- 4 Finite direct products of groups
- 5 Wreath products
- 6 Twisted wreath products
- 7 O’Nan–Scott Theory and the maximal subgroups of finite alternating and symmetric groups
- Part II Innately transitive groups: Factorisations and cartesian decompositions
- 8 Cartesian factorisations
- 9 Transitive cartesian decompositions for innately transitive groups
- 10 Intransitive cartesian decompositions
- Part III Cartesian decompositions: Applications
- 11 Applications in permutation group theory
- 12 Applications to graph theory
- Appendix Factorisations of simple and characteristically simple groups
- References
- Glossary
- Index
Summary
- Type
- Chapter
- Information
- Permutation Groups and Cartesian Decompositions , pp. 175 - 198Publisher: Cambridge University PressPrint publication year: 2018