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＜電子ブック＞
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)

版	1st ed. 2014.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2014
本文言語	英語
大きさ	X, 148 p : online resource
著者標目	*Farley, Daniel Scott author Ortiz, Ivonne Johanna author SpringerLink (Online service)
件　名	LCSH:K-theory LCSH:Group theory LCSH:Manifolds (Mathematics) FREE:K-Theory FREE:Group Theory and Generalizations FREE:Manifolds and Cell Complexes
一般注記	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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