This book covers nearly all major parts of the theory of infinite soluble groups. The areas include soluble linear groups, finitely generated soluble groups, soluble groups of various finite ranks, finitely presented soluble groups, soluble groups satisfying various finiteness conditions, algorithmic problems on finitely generated soluble groups, modules over corresponding group rings and applications of cohomological methods. The presentation of the material mentioned is excellent and the text, albeit necessarily somewhat comprehensive, is easy to follow. A comprehensive bibliography is provided. The book will certainly become a standard reference text on the subject.

Reviewer:

tk