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＜E-Book＞
Algebraic K-theory of Crystallographic Groups : The Three-Dimensional Splitting Case / by Daniel Scott Farley, Ivonne Johanna Ortiz
(Lecture Notes in Mathematics. ISSN:16179692 ; 2113)

Edition	1st ed. 2014.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2014
Language	English
Size	X, 148 p : online resource
Authors	*Farley, Daniel Scott author Ortiz, Ivonne Johanna author SpringerLink (Online service)
Subjects	LCSH:K-theory LCSH:Group theory LCSH:Manifolds (Mathematics) FREE:K-Theory FREE:Group Theory and Generalizations FREE:Manifolds and Cell Complexes
Notes	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 HTTP:URL=https://doi.org/10.1007/978-3-319-08153-3

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