Concise introduction to permutation groups, focusing on invariant cartesian decompositions and applications in algebra and combinatorics.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Cheryl E. Praeger is Emeritus Professor at the Centre for the Mathematics of Symmetry and Computation at the University of Western Australia, Perth. She is an Honorary Life Member of the Australian Mathematical Society, and was its first female President. She has authored more than 400 research publications, including five books. Besides holding honorary doctorates awarded by universities in Thailand, Iran, Belgium, Scotland, and Australia, she is also a member of the Order of Australia for her service to mathematics in Australia.
Inhaltsangabe
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 Glossary References Index.
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 Glossary References Index.
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