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Derek J. S. Robinson

A Course in the Theory of Groups


2. Aufl. 2012. xvii, 502 S. XVII, 502 p. 235 mm
Verlag/Jahr: SPRINGER, BERLIN 2012
ISBN: 1-461-26443-X (146126443X)
Neue ISBN: 978-1-461-26443-9 (9781461264439)

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"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
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.
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
Derek J. S. Robinson, University of Illinois, Urbana-Champaign, USA.