Algebra VII : Combinatorial Group Theory Applications to Geometry From the reviews of the first printing of this book published as volume 58 of the Encyclopaedia of Mathematical Sciences: .. This book will be very useful as a reference and guide to researchers and graduate students in algebra and and topology. Acta Scientiarum Mathematicarum Ungarn 1994 .. The book under review consists of two monographs on geometric aspects of group theory: Combinatorial group theory and fundamental groups by D.J.Collins and H.Zieschang ..: Some problems of group theory related to geometry by R.I.Grigorchuk and P.F.Kurchanov. .. Together these two articles form a wide ranging survey of combinatorial group theory with emphasis very much on the geometric roots of the subject. This will be a useful reference work for the expert as well as providing an overview of the subject for the outsider or novice. Many different topics are described and explored with the main results presented but not proved. This allows the interested reader to get the flavour of these topics without becoming bogged down in detail. Both articles give comprehensive bibliographies so that it is possible to use this book as the starting point for a more detailed study of a particular topic of interest. .. In summary a very interesting book! Bulletin of the London Mathematical Society 1996 .. In both essays the authors give clear and comprehensive definitions examples and statements (but not proofs) of theorems so that the book can be understood by a reader with a minimal background in group theory or geometry. Such a reader needing to find out what is known in this area will find this a full and accessible store of information. Contemporary Physics 1994 ..This survey (Part II) presents for the first time that problems in monograph form and by the way offers a unifying treatment of the various approaches to their solutions as far as they are known together with hints to open problems. A titbit for every interested reader! Monatshefte für Mathematik 1995