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An Introduction to the Theory of Groups

  • Textbook
  • © 1995
  • Latest edition

Overview

Authors:
  1. Joseph J. Rotman

    1. Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, USA

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Part of the book series: Graduate Texts in Mathematics (GTM, volume 148)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xv
    Download chapter PDF

  2. Groups and Homomorphisms

    • Joseph J. Rotman
    Pages 1-19

  3. The Isomorphism Theorems

    • Joseph J. Rotman
    Pages 20-42

  4. Symmetric Groups and G-Sets

    • Joseph J. Rotman
    Pages 43-72

  5. The Sylow Theorems

    • Joseph J. Rotman
    Pages 73-88

  6. Normal Series

    • Joseph J. Rotman
    Pages 89-124

  7. Finite Direct Products

    • Joseph J. Rotman
    Pages 125-153

  8. Extensions and Cohomology

    • Joseph J. Rotman
    Pages 154-216

  9. Some Simple Linear Groups

    • Joseph J. Rotman
    Pages 217-246

  10. Permutations and the Mathieu Groups

    • Joseph J. Rotman
    Pages 247-306

  11. Abelian Groups

    • Joseph J. Rotman
    Pages 307-342

  12. Free Groups and Free Products

    • Joseph J. Rotman
    Pages 343-417

  13. The Word Problem

    • Joseph J. Rotman
    Pages 418-470

  14. Epilogue

    • Joseph J. Rotman
    Pages 471-474

  15. Back Matter

    Pages 475-517
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Reviews

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

Authors and Affiliations

  • Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, USA

    Joseph J. Rotman

Bibliographic Information

  • Book Title: An Introduction to the Theory of Groups

  • Authors: Joseph J. Rotman

  • Series Title: Graduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-4176-8

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1995

  • Hardcover ISBN: 978-0-387-94285-8Published: 04 November 1994

  • Softcover ISBN: 978-1-4612-8686-8Published: 24 January 2014

  • eBook ISBN: 978-1-4612-4176-8Published: 06 December 2012

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 4

  • Number of Pages: XV, 517

  • Additional Information: Originally published by Allyn & Bacon, 1965, 1973 and 1984

  • Topics: Group Theory and Generalizations

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