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Sinopsis
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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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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Permutation Groups (Graduate Texts in Mathematics, 163)
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Permutation Groups
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Permutation Groups (Graduate Texts in Mathematics, 163)
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Permutation Groups (Graduate Texts in Mathematics, 163)
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Permutation Groups (Hardcover)
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Springer-Verlag New York Inc., New York, NY, 1996
ISBN 10: 0387945997
ISBN 13: 9780387945996
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Hardcover. Condición: new. Hardcover. Permutation Groups form one of the oldest parts of group theory. Through the ubiquity of group actions and the concrete representations which they afford, both finite and infinite permutation groups arise in many parts of mathematics and continue to be a lively topic of research in their own right. The book begins with the basic ideas, standard constructions and important examples in the theory of permutation groups.It then develops the combinatorial and group theoretic structure of primitive groups leading to the proof of the pivotal O'Nan-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. This text can serve as an introduction to permutation groups in a course at the graduate or advanced undergraduate level, or for self- study. It includes many exercises and detailed references to the current literature. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Nº de ref. del artículo: 9780387945996
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Permutation Groups
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Permutation Groups (Graduate Texts in Mathematics, 163)
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Permutation Groups
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Springer New York Apr 1996, 1996
ISBN 10: 0387945997
ISBN 13: 9780387945996
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Permutation Groups form one of the oldest parts of group theory. Through the ubiquity of group actions and the concrete representations which they afford, both finite and infinite permutation groups arise in many parts of mathematics and continue to be a lively topic of research in their own right. The book begins with the basic ideas, standard constructions and important examples in the theory of permutation groups.It then develops the combinatorial and group theoretic structure of primitive groups leading to the proof of the pivotal O'Nan-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. This text can serve as an introduction to permutation groups in a course at the graduate or advanced undergraduate level, or for self- study. It includes many exercises and detailed references to the current literature. 364 pp. Englisch. Nº de ref. del artículo: 9780387945996
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Permutation Groups
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Permutation Groups (Graduate Texts in Mathematics, 163, Band 163).
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New York. Springer-Verlag., 1996
ISBN 10: 0387945997
ISBN 13: 9780387945996
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Karton. Condición: Sehr gut. Zust: Gutes Exemplar. 346 Seiten, mit Abbildungen, Englisch 652g. Nº de ref. del artículo: 360461
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