Combinatorial Group Theory: Presentations of Groups in Terms of Generators and Relations
A seminal, much-cited account of combinatorial group theory-co-authored 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.
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