PERMUTATION GROUPS
J. Cameron Peter
Oprawa:
MIĘKKA
Wydawca:
Cambridge University Press
Data premiery:
1999-02-04
ISBN:
9780521653787
Opis produktu
This book summarizes recent developments in the study of permutation groups for beginning graduate students.This book gives a summary of recent developments in the study of permutation groups 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.This book gives a summary of recent developments in the study of permutation groups 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.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.1. General theory: 2. Representation theory: 3. Coherent configurations: 4. The ONanScott theorem: 5. Oligomorphic groups: 6. Miscellanea: 7. Tables.Camerons masterly style allows him to cover an enormous amount of ground it is a delightful book which every grouptheorist should have either to read systematically or to dip into in odd moments: a randomlychosen page almost certainly contains something new and instructive. Gareth A. Jones Bulletin of the London Mathematical Society an excellent concise account of the modern theory of permutation groups W. Knapp Zentralblatt MATHData Publikacji: 1999-02-04
Wymiary: 228 mm 152 mm 13 mm 350 gr
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Ostatnia aktualizacja:
02-04-2024