Derek J. S. Robinson

A Course in the Theory of Groups (eBook, PDF)

• Format: PDF

Produktbeschreibung

"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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Produktdetails

• Verlag: Springer US
• Seitenzahl: 502
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781441985941
• Artikelnr.: 44179899

Autorenporträt

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

Inhaltsangabe

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.

Rezensionen

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