An Introduction to the Theory of Groups by Joseph J. Rotman (Hardcover, 1999)

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Product Information

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).

Product Identifiers

PublisherSpringer-Verlag New York Inc.
ISBN-139780387942858
eBay Product ID (ePID)90894702

Product Key Features

Number of Pages517 Pages
Publication NameAn Introduction to the Theory of Groups
LanguageEnglish
SubjectMathematics
Publication Year1999
TypeTextbook
AuthorJoseph J. Rotman
SeriesGraduate Texts in Mathematics
FormatHardcover

Dimensions

Item Height235 mm
Item Weight2050 g
Item Width155 mm
Volume148

Additional Product Features

Country/Region of ManufactureUnited States
Title_AuthorJoseph J. Rotman

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