Groups Acting on Graphs Paperback / softback
by Warren (Universitat Autonoma de Barcelona) Dicks, M. J. (University of Sussex) Dunwoody
Part of the Cambridge Studies in Advanced Mathematics series
Paperback / softback
Description
Originally published in 1989, this is an advanced text and research monograph on groups acting on low-dimensional topological spaces, and for the most part the viewpoint is algebraic.
Much of the book occurs at the one-dimensional level, where the topology becomes graph theory.
Two-dimensional topics include the characterization of Poincare duality groups and accessibility of almost finitely presented groups.
The main three-dimensional topics are the equivariant loop and sphere theorems.
The prerequisites grow as the book progresses up the dimensions.
A familiarity with group theory is sufficient background for at least the first third of the book, while the later chapters occasionally state without proof and then apply various facts which require knowledge of homological algebra and algebraic topology.
This book is essential reading for anyone contemplating working in the subject.
Information
-
Out of stock
- Format:Paperback / softback
- Pages:306 pages, Worked examples or Exercises
- Publisher:Cambridge University Press
- Publication Date:14/04/2011
- Category:
- ISBN:9780521180009
Information
-
Out of stock
- Format:Paperback / softback
- Pages:306 pages, Worked examples or Exercises
- Publisher:Cambridge University Press
- Publication Date:14/04/2011
- Category:
- ISBN:9780521180009