Introduction to the Theory of Groups

Name: Introduction to the Theory of Groups
Price: 32.69 USD
Availability: InStock
ISBN: 9780387942858

ISBN-10: 0387942858

ISBN-13: 9780387942858

Edition: 4th 1995 (Revised)

Authors: Joseph J. Rotman

List price: $79.99

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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…

Book details

List price: $79.99
Edition: 4th
Copyright year: 1995
Publisher: Springer New York
Publication date: 11/4/1994
Binding: Hardcover
Pages: 517
Size: 6.10" wide x 9.25" long x 0.48" tall
Weight: 2.222
Language: English



Preface to the Fourth Edition


From Preface to the Third Edition


To the Reader



Groups and Homomorphisms



The Isomorphism Theorems



Symmetric Groups and G-Sets



The Sylow Theorems



Normal Series



Finite Direct Products



Extensions and Cohomology



Some Simple Linear Groups



Permutations and the Mathieu Groups



Abelian Groups



Free Groups and Free Products



The Word Problem


Epilogue


Appendix I: Some Major Algebraic Systems


Appendix II: Equivalence Relations and Equivalence Classes


Appendix III: Functions


Appendix IV: Zorn's Lemma


Appendix V: Countability


Appendix VI: Commutative Rings


Bibliography


Notation


Index