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Using basic ideas and examples in the theory of permutation groups, this book develops the combinatorial and group theoretic structure of primitive groups leading to the proof of the O'Nan-Scott Theorem, linking finite primitive groups and finite simple groups.
The study of permutation groups has always been an integral part of group theory. Permutation groups are important as a tool for solving group theoretic and combinatorial problems, and as a source of significant examples of groups. The reader is assumed to have had a first course in group theory. Numerous examples and exercises make the book suitable both as a course text and for self-study.
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