Warren Dicks: Groups Acting on Graphs

Cover: 9780521180009 | Groups Acting on Graphs | Warren Dicks (u. a.) | Taschenbuch | 2010

Rückseite: 9780521180009 | Groups Acting on Graphs | Warren Dicks (u. a.) | Taschenbuch | 2010

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Sprache: Englisch

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Beschreibung

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.

Inhaltsverzeichnis

Preface; Conventions; 1. Groups and graphs; 2. Cutting graphs and building trees; 3. The almost stability theorem; 4. Applications of the almost stability theorem; 5. Poincaré duality; 6. Two-dimensional complexes and three-dimensional manifolds; Bibliography and author index; Symbol index; Subject index.

Details

Erscheinungsjahr:	2010
Fachbereich:	Wahrscheinlichkeitstheorie
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
ISBN-13:	9780521180009
ISBN-10:	0521180007
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Dicks, Warren Dunwoody, M. J.
Hersteller:	Cambridge University Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	229 x 152 x 18 mm
Von/Mit:	Warren Dicks (u. a.)
Erscheinungsdatum:	09.12.2010
Gewicht:	0,5 kg