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.
Product Identifiers
Publisher
Springer International Publishing Ag
ISBN-13
9783319081526
eBay Product ID (ePID)
208821836
Product Key Features
Author
Ivonne Johanna Ortiz, Daniel Scott Farley
Publication Name
Algebraic K-Theory of Crystallographic Groups: the Three-Dimensional Splitting Case
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2014
Type
Textbook
Number of Pages
148 Pages
Dimensions
Item Height
235mm
Item Width
155mm
Volume
2113
Item Weight
2526g
Additional Product Features
Title_Author
Daniel Scott Farley, Ivonne Johanna Ortiz
Series Title
Lecture Notes in Mathematics
Country/Region of Manufacture
Switzerland
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