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Concise introduction to permutation groups, focusing on invariant cartesian decompositions and applications in algebra and combinatorics.
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Concise introduction to permutation groups, focusing on invariant cartesian decompositions and applications in algebra and combinatorics.
Produktdetails
- Produktdetails
- Verlag: Cambridge University Press
- Seitenzahl: 338
- Erscheinungstermin: 31. August 2018
- Englisch
- Abmessung: 229mm x 152mm x 20mm
- Gewicht: 550g
- ISBN-13: 9780521675062
- ISBN-10: 0521675065
- Artikelnr.: 50847351
- Verlag: Cambridge University Press
- Seitenzahl: 338
- Erscheinungstermin: 31. August 2018
- Englisch
- Abmessung: 229mm x 152mm x 20mm
- Gewicht: 550g
- ISBN-13: 9780521675062
- ISBN-10: 0521675065
- Artikelnr.: 50847351
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.
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.
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.
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.