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Synopsis
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.
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From the Back Cover
A Course in the Theory of Groups is a comprehensive introduction to general group theory. Presupposing only a basic knowledge of abstract algebra, it introduces the reader to the different branches of group theory and their principal accomplishments. The book stresses the unity of group theory and draws attention to connections with other areas of algebra. Numerous exercises are given which supplement the material in the text.
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A Course in the Theory of Groups (Graduate Texts in Mathematics, Vol. 80)
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A Course in the Theory of Groups (Graduate Texts in Mathematics)
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A Course in the Theory of Groups. Second Edition. With 40 Illustrations. [= Graduate Texts in Mathematics 80].
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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. Seller Inventory # 50873
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A Course in the Theory of Groups (Graduate Texts in Mathematics, 80, Band 80).
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New York. Springer-Verlag., 1996
ISBN 10: 0387944613
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Course in the Theory of Groups
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A Course in the Theory of Groups (Graduate Texts in Mathematics, Vol. 80) (Graduate Texts in Mathematics, 80)
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A Course in the Theory of Groups
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Springer New York, 1995
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Kartoniert / Broschiert. Condition: 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. Seller Inventory # 5912035
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A Course in the Theory of Groups (Graduate Texts in Mathematics, Vol. 80) (Graduate Texts in Mathematics, 80)
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A Course in the Theory of Groups: 80 (Graduate Texts in Mathematics, 80)
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A Course in the Theory of Groups
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Springer New York Okt 1995, 1995
ISBN 10: 0387944613
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Buch. Condition: 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. Seller Inventory # 9780387944616
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