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.
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