000 | 01734nam a2200205 a 4500 | ||
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020 | _a9780486632810 | ||
020 | _a0486632814 | ||
082 |
_a512.2 _bMAG |
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100 | _aMagnus, Wilhelm | ||
245 | _aCombinatorial group theory : presentations of groups in terms of generators and relations | ||
250 | _a2nd Revised | ||
260 |
_aNew York : _bDover Publications, _c1976. |
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300 | _axii, 444 pages ; | ||
505 | _a 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. | ||
520 | _aA 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. | ||
650 | _aCombinatorial group theory. | ||
700 | _aKarrass, Abraham | ||
700 | _aSolitar, Donald | ||
942 | _cREF | ||
999 |
_c13875 _d13875 |