Algebraic K-theory of Crystallographic Groups - The Three-Dimensional Splitting Case (Paperback, 2014 ed.)

The Farrell-Jones isomorphism conjecture in algebraic K-theory offers a description of the algebraic K-theory of a group using a generalized homology theory. In cases where the conjecture is known to be a theorem, it gives a powerful method for computing the lower algebraic K-theory of a group. This book contains a computation of the lower algebraic K-theory of the split three-dimensional crystallographic groups, a geometrically important class of three-dimensional crystallographic group, representing a third of the total number. The book leads the reader through all aspects of the calculation. The first chapters describe the split crystallographic groups and their classifying spaces. Later chapters assemble the techniques that are needed to apply the isomorphism theorem. The result is a useful starting point for researchers who are interested in the computational side of the Farrell-Jones isomorphism conjecture, and a contribution to the growing literature in the field.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Lecture Notes in Mathematics, 2113
Release date:	September 2014
First published:	2014
Authors:	Daniel Scott Farley • Ivonne Johanna Ortiz
Dimensions:	235 x 155 x 9mm (L x W x T)
Format:	Paperback
Pages:	148
Edition:	2014 ed.
ISBN-13:	978-3-319-08152-6
Categories:	Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory Books > Science & Mathematics > Mathematics > Geometry > Analytic geometry Books > Science & Mathematics > Mathematics > Topology > Algebraic topology
LSN:	3-319-08152-7
Barcode:	9783319081526

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