"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
Table of Contents1 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.