Combinatorial Group Theory: Presentation of Groups in Terms of Generators and Relations

Science & Math

Wilhelm Magnus

Abraham Karrass

Donald Solitar

Mathematics

John Wiley&Sons, Inc.

<p>A seminal, much-cited account of combinatorial group theory — coauthored by a distinguished teacher of mathematics and a pair of his colleagues — this text for graduate students features numerous helpful exercises.<br>The book begins with a fairly elementary exposition of basic concepts and a discussion of factor groups and subgroups. The topics of Nielsen transformations, free and amalgamated products, and commutator calculus receive detailed treatment. The concluding chapter surveys word, conjugacy, and related problems; adjunction and embedding problems; varieties of groups; products of groups; and residual and Hopfian properties.<br>In addition to the exercises, which appear throughout the text, supplementary materials include an extensive bibliography of important books and monographs, as well as a list of theorems, corollaries, and definitions and a list of symbols and abbreviations.</p>

Combinatorial Group Theory: Presentations of Groups in Terms of Generators and Relations (Dover Books on Mathematics)

Dover Publications

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