An Introduction to the Theory of Groups

By:

Joseph J Rotman

Format:

Hardback

Series:

Graduate Texts in Mathematics,

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Description

Anyone who has studied "abstract algebra" and linear algebra as an undergraduate can understand this book. This edition has been completely revised and reorganized, without however losing any of the clarity of presentation that was the hallmark of the previous editions. The first six chapters provide ample material for a first course: beginning with the basic properties of groups and homomorphisms, topics covered include Lagrange's theorem, the Noether isomorphism theorems, symmetric groups, G-sets, the Sylow theorems, finite Abelian groups, the Krull-Schmidt theorem, solvable and nilpotent groups, and the Jordan-Holder theorem. The middle portion of the book uses the Jordan-Holder theorem to organize the discussion of extensions (automorphism groups, semidirect products, the Schur-Zassenhaus lemma, Schur multipliers) and simple groups (simplicity of projective unimodular groups and, after a return to G-sets, a construction of the sporadic Mathieu groups).

Release date NZ

November 4th, 1994

Author

Joseph J Rotman

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational
Undergraduate

Edition

4th ed. 1995

Illustrations

XV, 517 p.

Pages

517

Series

Graduate Texts in Mathematics,

Dimensions

155x235x30

ISBN-13

9780387942858

Product ID

2132898

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