Introduction to the Theory of Groups

Introduction to the Theory of Groups
Joseph J. Rotman, Joseph J. Ro ...
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Last edited by MARC Bot
September 28, 2024 | History

Introduction to the Theory of Groups

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).

Publish Date
Publisher
Springer New York
Language
English

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Edition Availability
Cover of: Introduction to the Theory of Groups
Introduction to the Theory of Groups
2014, Springer New York
in English
Cover of: Introduction to the Theory of Groups
Introduction to the Theory of Groups
2012, Springer London, Limited
in English

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Book Details


Classifications

Library of Congress
QA174-183

The Physical Object

Pagination
xv, 517
Weight
0.813

ID Numbers

Open Library
OL37186198M
ISBN 13
9781461286868

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Better World Books record

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September 28, 2024 Edited by MARC Bot import existing book
February 26, 2022 Created by ImportBot import new book