Course in the Theory of Groups

AvDerek J.S. Robinson

Häftad, Engelska, 2012

Del 80 i serien Graduate Texts in Mathematics

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Beskrivning

A Course in the Theory of Groups is a comprehensive introduction to the theory of groups - finite and infinite, commutative and non-commutative. 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.

Produktinformation

Utgivningsdatum:2012-09-08
Mått:155 x 235 x 35 mm
Vikt:784 g
Format:Häftad
Språk:Engelska
Serie:Graduate Texts in Mathematics
Antal sidor:502
Upplaga:2
Förlag:Springer-Verlag New York Inc.
ISBN:9781461264439

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Grupper och gruppteori inom Naturvetenskap och teknik

Recensioner i media

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

Innehållsförteckning

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.