An Introduction to the Theory of Groups
This introductory exposition of group theory by an eminent Russian mathematician is particularly suited to undergraduates, developing material of fundamental importance in a clear and rigorous fashion. The treatment is also useful as a review for more advanced students with some background in group theory.
Beginning with introductory examples of the group concept, the text advances to considerations of groups of permutations, isomorphism, cyclic subgroups, simple groups of movements, invariant subgroups, and partitioning of groups. An appendix provides elementary concepts from set theory. A wealth of simple examples, primarily geometrical, illustrate the primary concepts. Exercises at the end of each chapter provide additional reinforcement.
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An Introduction to the Theory of Groups
This introductory exposition of group theory by an eminent Russian mathematician is particularly suited to undergraduates, developing material of fundamental importance in a clear and rigorous fashion. The treatment is also useful as a review for more advanced students with some background in group theory.
Beginning with introductory examples of the group concept, the text advances to considerations of groups of permutations, isomorphism, cyclic subgroups, simple groups of movements, invariant subgroups, and partitioning of groups. An appendix provides elementary concepts from set theory. A wealth of simple examples, primarily geometrical, illustrate the primary concepts. Exercises at the end of each chapter provide additional reinforcement.
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An Introduction to the Theory of Groups

An Introduction to the Theory of Groups

An Introduction to the Theory of Groups

An Introduction to the Theory of Groups

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Overview

This introductory exposition of group theory by an eminent Russian mathematician is particularly suited to undergraduates, developing material of fundamental importance in a clear and rigorous fashion. The treatment is also useful as a review for more advanced students with some background in group theory.
Beginning with introductory examples of the group concept, the text advances to considerations of groups of permutations, isomorphism, cyclic subgroups, simple groups of movements, invariant subgroups, and partitioning of groups. An appendix provides elementary concepts from set theory. A wealth of simple examples, primarily geometrical, illustrate the primary concepts. Exercises at the end of each chapter provide additional reinforcement.

Product Details

ISBN-13: 9780486275970
Publisher: Dover Publications
Publication date: 06/26/2013
Series: Dover Books on Mathematics
Sold by: Barnes & Noble
Format: eBook
Pages: 128
File size: 4 MB

About the Author

The prominent Russian mathematician Paul S. Alexandroff (1896–1982) was primarily associated with the University of Moscow. He contributed to the areas of topology and homology theory and was the author of Dover's Elementary Concepts in Topology (60747-X). 

Table of Contents

1. The Group Concept2. Groups of Permutations3. Some General Remarks about Groups. The Concept of Isomorphism4.Cyclic Subgroups of a Given Group5. Simple Groups of Moments6. Invariant Subgroups7.Homomorphic Mappings8. Partioningof a Group Relative to a Given Subgroup. Difference ModulesAppendixBooks to CosultIndex
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