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Permutation groups and cartesian decompositions

Author: Cheryl E Praeger; Csaba Schneider
Publisher: Cambridge, UK : Cambridge University Press, 2018. ©2018
Series: London Mathematical Society lecture note series, 449.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

The theory of permutation groups has a wide range of applications including combinatorics, graph theory, computer science, theoretical physics and molecular chemistry. This book introduces topics  Read more...

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Document Type: Book
All Authors / Contributors: Cheryl E Praeger; Csaba Schneider
ISBN: 9780521675062 0521675065
OCLC Number: 1039312529
Description: xiii, 323 pages : illustrations ; 23 cm.
Contents: 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.
Series Title: London Mathematical Society lecture note series, 449.
Responsibility: Cheryl E. Praeger, Csaba Schneider.

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'This is a thorough reference book that consists of three parts ... In summary, the book is an impressive collection of theorems and their proofs.' Miklos Bona, MAA Reviews 'One of the most important Read more...

 
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