An Introduction to the Theory of Groups (Hardcover)

Joseph J. Rotman

ISBN 10: 0387942858 / ISBN 13: 9780387942858

Published by Springer-Verlag New York Inc., New York, NY, 1994

About this Item

Hardcover. 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). Suitable for those who have studied abstract algebra and linear algebra as an undergraduate, this book covers advanced topics of the Theory of Groups. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9780387942858

Bibliographic Details

• Title: An Introduction to the Theory of Groups (Hardcover)
• Publisher: Springer-Verlag New York Inc., New York, NY
• Publication Date: 1994
• Language: English
• ISBN 10: 0387942858
• ISBN 13: 9780387942858
• Binding: Hardcover
• Edition: 4th Edition
• Condition: new

About this title

Synopsis

Anyone who has studied abstract algebra and linear algebra as an undergraduate can understand this book. The first six chapters provide material for a first course, while the rest of the book covers more advanced topics. This revised edition retains the clarity of presentation that was the hallmark of the previous editions.

From the reviews:

"Rotman has given us a very readable and valuable text, and has shown us many beautiful vistas along his chosen route." --MATHEMATICAL REVIEWS

Review

Fourth Edition

J.J. Rotman

An Introduction to the Theory of Groups

"Rotman has given us a very readable and valuable text, and has shown us many beautiful vistas along his chosen route."―MATHEMATICAL REVIEWS