Groups Acting on Graphs
Book Details
Format
Hardback or Cased Book
Book Series
Cambridge Studies in Advanced Mathematics
ISBN-10
0521230330
ISBN-13
9780521230339
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Mar 9th, 1989
Print length
300 Pages
Weight
602 grams
Dimensions
23.40 x 16.10 x 2.40 cms
Product Classification:
Groups & group theoryGroups and group theoryAlgebraic topology
Ksh 19,250.00
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This 1989 monograph investigates groups acting on low-dimensional topological spaces, and for the most part the viewpoint is algebraic. A familiarity with group theory is sufficient background for 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.
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.
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