R. Geoghegan Topological Methods in Group Theory Series: Graduate Texts in Mathematics, Vol. 243

▶ Covers important topics not covered elsewhere ▶ Provides an accessible review of general topology ▶ Provides in detail the topological tools needed for group theory ▶ Contains more than 40 figures ▶ Immense practical value as each chapter includes exercises throughout ▶ Self-contained and suitable for graduate courses on algebraic topology or on its applications to group theory

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 2008, XVI, 473 p. 41 illus. 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 Printed book book contains much basic material on proper homotopy and locally finite homology not Hardcover easily found elsewhere.

▶ 79,99 € | £69.99 | $99.99 The book focuses on two main themes: ▶ *85,59 € (D) | 87,99 € (A) | CHF 94.50

1. Topological Finiteness Properties of groups (generalizing the classical notions of eBook "finitely generated" and "finitely presented"); Available from your bookstore or ▶ springer.com/shop 2. Asymptotic Aspects of Infinite Groups (generalizing the classical notion of "the number of ends of a group").

MyCopy Illustrative examples treated in some detail include: Bass-Serre theory, Coxeter groups, Printed eBook for just Thompson groups, Whitehead's contractible 3-manifold, Davis's exotic contractible ▶ € | $ 24.99 manifolds in dimensions greater than three, the Bestvina-Brady Theorem, and the Bieri- ▶ springer.com/mycopy Neumann-Strebel invariant. The book also includes a highly geometrical treatment of Poincaré duality (via cells and dual cells) to bring out the topological meaning of Poincaré 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.

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