Topics in Group Theory / Edition 1

Topics in Group Theory / Edition 1

5.0 1
by Geoff Smith, Olga Tabachnikova, G. C. Smith
     
 

ISBN-10: 1852332352

ISBN-13: 9781852332358

Pub. Date: 05/15/2000

Publisher: Springer London

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

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Overview

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.

Product Details

ISBN-13:
9781852332358
Publisher:
Springer London
Publication date:
05/15/2000
Series:
Springer Undergraduate Mathematics Series
Edition description:
2000
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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Topics In Group Theory 5 out of 5 based on 0 ratings. 1 reviews.
DEO-PhD-Candidate More than 1 year ago
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 Theory...gives 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)...