Encyclopaedia of Mathematical Sciences

Algebra VII

Combinatorial Group Theory Applications to Geometry

Authors: Collins, D.J., Grigorchuk, R.I., Kurchanov, P.F., Zieschang, H.

Editors: Kostrikin, A.I., Shafarevich, I.R. (Eds.)

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About this book

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

Reviews

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

Table of contents (12 chapters)

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-642-58013-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for USA
  • ISBN 978-3-540-54700-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.00
price for USA
  • ISBN 978-3-540-63704-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Algebra VII
Book Subtitle
Combinatorial Group Theory Applications to Geometry
Authors
Editors
  • A.I. Kostrikin
  • I.R. Shafarevich
Translated by
Cohn, P.M.
Series Title
Encyclopaedia of Mathematical Sciences
Series Volume
58
Copyright
1993
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-58013-0
DOI
10.1007/978-3-642-58013-0
Hardcover ISBN
978-3-540-54700-6
Softcover ISBN
978-3-540-63704-2
Series ISSN
0938-0396
Edition Number
1
Number of Pages
VII, 242
Additional Information
Originally published as volume 58 in the series: Encyclopaedia of Mathematical Sciences
Topics