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Topological Methods in Group Theory Tapa dura - 2007 - 2008th Edición
de Ross Geoghegan
Descripción de contraportada
Topological Methods in Group Theory is about the interplay between algebraic topology and the theory of infinite discrete groups. The author has kept three kinds of readers in mind: graduate students who have had an introductory course in algebraic topology and who need a bridge from common knowledge to the current research literature in geometric, combinatorial and homological group theory; group theorists who would like to know more about the topological side of their subject but who have been too long away from topology; and manifold topologists, both high- and low-dimensional, since the book contains much basic material on proper homotopy and locally finite homology not easily found elsewhere.
The book focuses on two main themes:
1. Topological Finiteness Properties of groups (generalizing the classical notions of "finitely generated" and "finitely presented");
2. Asymptotic Aspects of Infinite Groups (generalizing the classical notion of "the number of ends of a group").
Illustrative examples treated in some detail include: Bass-Serre theory, Coxeter groups, Thompson groups, Whitehead's contractible 3-manifold, Davis's exotic contractible manifolds in dimensions greater than three, the Bestvina-Brady Theorem, and the Bieri-Neumann-Strebel invariant. The book also includes a highly geometrical treatment of Poincar duality (via cells and dual cells) to bring out the topological meaning of Poincar duality groups.
To keep the length reasonable and the focus clear, it is assumed that the reader knows or can easily learn the necessary algebra (which is clearly summarized) but wants to see the topology done in detail. Apart from the introductory material, most of the mathematics presented here has not appeared in book form before.
Detalles
- Título Topological Methods in Group Theory
- Autor Ross Geoghegan
- Encuadernación Tapa dura
- Número de edición 2008th
- Edición 2008
- Páginas 473
- Volúmenes 1
- Idioma ENG
- Editorial Springer
- Fecha de publicación 2007-12-17
- Ilustrado Sí
- Features Bibliography, Illustrated, Index
- ISBN 9780387746111 / 0387746110
- Peso 1.76 libras (0.80 kg)
- Dimensiones 9.26 x 6.46 x 1.05 pulgadas (23.52 x 16.41 x 2.67 cm)
- Library of Congress subjects Group theory, Discrete groups
- Número de catálogo de la Librería del Congreso de EEUU 2007940952
- Dewey Decimal Code 510
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Topological Methods in Group Theory
de Ross Geoghegan
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- 9780387746111 / 0387746110
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Topological Methods in Group Theory
de Geoghegan, Ross
- Nuevo
- Tapa dura
- Estado
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- Hardcover
- ISBN 10 / ISBN 13
- 9780387746111 / 0387746110
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Topological Methods in Group Theory (Graduate Texts in Mathematics, 243)
de Geoghegan, Ross
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- Hardcover
- ISBN 10 / ISBN 13
- 9780387746111 / 0387746110
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Newport Coast, California, United States
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