TY - BOOK AU - Dixon,John D. AU - Mortimer,Brian TI - Permutation Groups T2 - Graduate Texts in Mathematics Series SN - 9781461207313 AV - QA612.33 U1 - 512/.2 PY - 1996/// CY - New York, NY PB - Springer New York KW - Permutation groups KW - Electronic books N1 - Graduate Texts in Mathematics -- Permutation Groups -- Copyright -- Preface -- Contents -- Notation -- 1 The Basic Ideas -- 2 Examples and Constructions -- 3 The Action of a Permutation Group -- 4 The Structure of a Primitive Group -- 5 Bounds on Orders of Permutation Groups -- 6 The Mathieu Groups and Steiner Systems -- 7 Multiply Transitive Groups -- 8 The Structure of the Symmetric Groups -- 9 Examples and Applications of Infinite Permutation Groups -- Appendix A Classification of Finite Simple Groups -- Appendix B The Primitive Permutation Groups of Degree Less than 1000 -- References -- Index N2 - 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 UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3073966 ER -