01827nam a2200217 a 4500020001800000020001600018082001500034100002200049245009400071250001600165260004500181300002100226505027100247520089900518650003201417700002301449700002201472942000801494999001701502952009001519 a9780486632810 a0486632814 a512.2bMAG aMagnus, Wilhelm aCombinatorial group theory : presentations of groups in terms of generators and relations a2nd Revised aNew York : bDover Publications, c1976. axii, 444 pages ; 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. 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. aCombinatorial group theory. aKarrass, Abraham aSolitar, Donald cREF c13875d13875 001040708RaMAINbMAINcREFd2003-09-25ePurchasedg421.00o512.2 MAGp007984yREF