TY - BOOK AU - Magnus, Wilhelm AU - Karrass, Abraham AU - Solitar, Donald TI - Combinatorial group theory : presentations of groups in terms of generators and relations SN - 9780486632810 U1 - 512.2 PY - 1976/// CY - New York : PB - Dover Publications, KW - Combinatorial group theory N1 - Technical remarks -- Basic concepts -- Factor groups and subgroups -- Nielsen transformations -- Free products and free products with amalgamations -- Commutator calculus -- Introduction to some recent developments -- List of theorems, corollaries, and definitions N2 - 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 ER -