"An excellent up-to-date introduction to the theory of groups. It is general yet comprehensive, covering various branches of group theory. The 15 chapters contain the following main topics: free groups and presentations, free products, decompositions, Abelian groups, finite permutation groups, representations of groups, finite and infinite soluble groups, group extensions, generalizations of nilpotent and soluble groups, finiteness properties." ---ACTA SCIENTIARUM MATHEMATICARUM
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Second Edition
D.J.S. Robinson
A Course in the Theory of Groups
"This book is an excellent up-to-date introduction to the theory of groups. It is general yet comprehensive, covering various branches of group theory. The fifteen chapters contain the following main topics: free groups and presentations, free products, decompositions, Abelian groups, finite permutation groups, representations of groups, finite and infinite soluble groups, group extensions, generalizations of nilpotent and soluble groups, finiteness properties . . . This book is highly recommended."―ACTA SCIENTIARUM MATHEMATICARUM
1 Fundamental Concepts of Group Theory.- 2 Free Groups and Presentations.- 3 Decompositions of a Group.- 4 Abelian Groups.- 5 Soluble and Nilpotent Groups.- 6 Free Groups and Free Products.- 7 Finite Permutation Groups.- 8 Representations of Groups.- 9 Finite Soluble Groups.- 10 The Transfer and Its Applications.- 11 The Theory of Group Extensions.- 12 Generalizations of Nilpotent and Soluble Groups.- 13 Subnormal Subgroups.- 14 Finiteness Properties.- 15 Infinite Soluble Groups.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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Original-Pappband; Gr. 8°; xvii (i) 499 (3) Seiten. Sehr gutes Exemplar. Sprache: Englisch Graduate Texts in Mathematics 80. 940 gr. Codice articolo 50873
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Karton. Condizione: Sehr gut. Zust: Gutes Exemplar. 499 Seiten, Englisch 880g. Codice articolo 494849
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Kartoniert / Broschiert. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. An excellent up-to-date introduction to the theory of groups. It is general yet comprehensive, covering various branches of group theory. The 15 chapters contain the following main topics: free groups and presentations, free products, decompositions, Ab. Codice articolo 5912035
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Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -'An excellent up-to-date introduction to the theory of groups. It is general yet comprehensive, covering various branches of group theory. The 15 chapters contain the following main topics: free groups and presentations, free products, decompositions, Abelian groups, finite permutation groups, representations of groups, finite and infinite soluble groups, group extensions, generalizations of nilpotent and soluble groups, finiteness properties.' --ACTA SCIENTIARUM MATHEMATICARUM 524 pp. Englisch. Codice articolo 9780387944616
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Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
Buch. Condizione: Neu. Neuware -A Course in the Theory of Groups is a comprehensive introduction to the theory of groups - finite and infinite, commutative and non-commutative. Presupposing only a basic knowledge of modern algebra, it introduces the reader to the different branches of group theory and to its principal accomplishments. While stressing the unity of group theory, the book also draws attention to connections with other areas of algebra such as ring theory and homological algebra.This new edition has been updated at various points, some proofs have been improved, and lastly about thirty additional exercises are included. There are three main additions to the book. In the chapter on group extensions an exposition of Schreier's concrete approach via factor sets is given before the introduction of covering groups. This seems to be desirable on pedagogical grounds. Then S. Thomas's elegant proof of the automorphism tower theorem is included in the section on complete groups. Finally an elementary counterexample to the Burnside problem due to N.D. Gupta has been added in the chapter on finiteness properties.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 524 pp. Englisch. Codice articolo 9780387944616
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