An Introduction to the Theory of Groups

An Introduction to the Theory of Groups - Graduate Texts in Mathematics

4th Edition

Hardback (04 Nov 1994)

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Publisher's Synopsis

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).

Book information

ISBN: 9780387942858
Publisher: Springer New York
Imprint: Springer
Pub date:
Edition: 4th Edition
DEWEY: 512.2
DEWEY edition: 20
Language: English
Number of pages: 513
Weight: 964g
Height: 243mm
Width: 166mm
Spine width: 36mm