Groups acting on graphs

By:

Dicks, Warren

Contributor(s):

Dunwoody, M. J

Series: Cambridge studies in advanced mathematics ; 17Publication details: Cambridge University Press, 1989. Cambridge:Description: xiii, 283 p. : ill. ; pb, 24 cmISBN:

9780521180009

Subject(s):

DDC classification:

512.22 DIC

Summary: 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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Holdings
Item type	Current library	Collection	Call number	Vol info	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar General Stacks	General	512.22 DIC (Browse shelf(Opens below))	3748.00	1	Available		030107

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Previous	512.2 SNA Explicit brauer induction: with applications to algebra and number theory	512.2 TAP Matrix groups for undergraduates	512.22 BEN Representations and cohomology: basic representation theory of finite groups and associative algebras, Vol. 1.	512.22 DIC Groups acting on graphs	512.23 CRA Theory of fusion systems: an algebraic approach	512.23 MUS Representations of finite groups	512.23 NAV Character theory and the McKay conjecture	Next

Includes indexes. Bibliography: p. 272-275.

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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