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.
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.
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.
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1. Basic Concepts 2. Factor Groups and Subgroups 3. Nielsen Transformations 4. Free Products and Free Products with Amalgamations 5. Commutator Calculus 6. Introduction to Some Recent Developments References List of Theorems, Corollaries and Definitions List of Symbols and Abbreviations Index
Book by Wilhelm Magnus Abraham Karrass Donald Solitar
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