Topics in Group Theory / Edition 1

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The theory of groups is simultaneously a branch of abstract algebra an d the study of symmetry. Designed to support a reader engaged in a fir st serious group theory course, or a mathematically mature reader appr oaching the subject for the first time, this book reviews the essentia ls. It recaps the basic definitions and results, up to and including L agrange's Theorem, and then continues to explore topics such as the is omorphism theorems and group actions. Later chapters include material on chain conditions and finiteness conditions, free groups and the the ory of presentations. In addition, a novel chapter of ventertainmentsv takes the basic theory and plays with it to obtain an assortment of r esults that will show a little of what can be done with the theoretica l machinery.

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Product Details

  • ISBN-13: 9781852332358
  • Publisher: Springer London
  • Publication date: 5/15/2000
  • Series: Springer Undergraduate Mathematics Series
  • Edition description: 2000
  • Edition number: 1
  • Pages: 256
  • Product dimensions: 0.57 (w) x 7.00 (h) x 10.00 (d)

Table of Contents

1. The Elements.- 2. Structure.- 3. Action.- 4. Entertainments.- 5. Law.- 6. Presentations.- 7. Appendix A: Fields.- 8. Appendix B: Relations and Orderings.- Further Reading.- Solutions.

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  • Posted August 9, 2010

    more from this reviewer

    Good supplement textbook on Group Theory for Information/Coding Theory...

    Excellent textbook to complement any formal text for use in class with an introductory course on Group Theory...a great supplement to any engineering student of information and coding theory that desires to explore the further backgrounds of the development of codes and ciphers from the abstract algebraic subjects of Galois Fields, Rings, Topology, and Group a good overview of elements, groups, sets, rings, fields, as applied to much deeper subjects like symmetry, isomorphisms, topology, knot theory, etc...good problem sets at the conclusion of each chapter with worked solutions at the end of the book...another good textbok in the SUMS (Springer Undergraduate Matematics Series)...

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