Permutation groups
著者
書誌事項
Permutation groups
（London Mathematical Society student texts, 45）
Cambridge University Press, 1999
- : hbk
- : pbk
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注記
"Transferred to digital printing 2009"--T.p. verso of 2009 printing
Bibliography: p. 199-212
Includes index
内容説明・目次
内容説明
Permutation groups are one of the oldest topics in algebra. However, their study has recently been revolutionised by new developments, particularly the classification of finite simple groups, but also relations with logic and combinatorics, and importantly, computer algebra systems have been introduced that can deal with large permutation groups. This book gives a summary of these developments, including an introduction to relevant computer algebra systems, sketch proofs of major theorems, and many examples of applying the classification of finite simple groups. It is aimed at beginning graduate students and experts in other areas, and grew from a short course at the EIDMA institute in Eindhoven.
目次
- 1. General theory
- 2. Representation theory
- 3. Coherent configurations
- 4. The O'Nan-Scott theorem
- 5. Oligomorphic groups
- 6. Miscellanea
- 7. Tables.
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