Algebra VII
Combinatorial Group Theory Applications to Geometry
Published on 17. March 1998
Book
Paperback/Softback
VII, 242 pages
978-3-540-63704-2 (ISBN)
Description
From the reviews: "... The book under review consists of two monographs on geometric aspects of group theory ... 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. ..." Bulletin of the London Mathematical Society, 1996
Reviews / Votes
From the reviews: "... The book under review consists of two monographs on geometric aspects of group theory ... 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. ..." Bulletin of the London Mathematical Society, 1996More details
Series
Edition
1st ed. 1993. 2nd printing 1998
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
VII, 242 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 15 mm
Weight
394 gr
ISBN-13
978-3-540-63704-2 (9783540637042)
DOI
10.1007/978-3-642-58013-0
Schweitzer Classification
Other editions
Additional editions
D.J. Collins | R.I. Grigorchuk | P.F. Kurchanov
Algebra VII
Combinatorial Group Theory Applications to Geometry
Book
09/1993
1st Edition
Springer
€106.99
Shipment within 7-9 days
Persons
Content
I. Combinatorial Group Theory and Fundamental Groups.- 1. Group Presentations and 2-Complexes.- 2. Free Groups and Free Products.- 3. Surfaces and Planar Discontinuous Groups.- 4. Cancellation Diagrams and Equations Over Groups.- 5. 3-Manifolds and Knots.- 6. Cohomological Methods and Ends.- 7. Decision Problems.- II. Some Questions of Group Theory Related to Geometry.- 1. Equations in Groups and Some Related Questions.- 2. Splitting Homomorphisms and Some Problems in Topology.- 3. On the Rate of Growth of Groups and Amenable Groups.- Author Index.