Following the basic ideas, standard constructions and important examples in the theory of permutation groups, the book goes on to develop the combinatorial and group theoretic structure of primitive groups leading to the proof of the pivotal ONan-Scott Theorem which links finite primitive groups with finite simple groups. Special topics covered include the Mathieu groups, multiply transitive groups, and recent work on the subgroups of the infinite symmetric groups. With its many exercises and detailed references to the current literature, this text can serve as an introduction to permutation groups in a course at the graduate or advanced undergraduate level, as well as for self-study.
- ISBN13 9780387945996
- Publish Date 11 April 1996
- Publish Status Active
- Publish Country US
- Imprint Springer-Verlag New York Inc.
- Edition 1996 ed.
- Format Hardcover
- Pages 348
- Language English