02460nam a2200385 i 4500991003265819707536m o d cr cnu 160801s2014 sz | o |||| 0|eng d9783319081533b14305793-39ule_instBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematicaeng512.6623AMS 20H15AMS 19A31AMS 19B28AMS 82D25LC QA612.33Farley, Daniel Scott716393Algebraic K-theory of crystallographic groups[e-book] :the three-dimensional splitting case /by Daniel Scott Farley, Ivonne Johanna OrtizCham [Switzerland] :Springer,20141 online resource (x, 148 pages)Lecture Notes in Mathematics,1617-9692 ;2113The 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 fieldGroup theoryK-theoryCell aggregationMathematicsOrtiz, Ivonne Johannaauthorhttp://id.loc.gov/vocabulary/relators/aut721507Printed edition:9783319081526http://link.springer.com/book/10.1007/978-3-319-08153-3An electronic book accessible through the World Wide Web.b1430579303-03-2201-08-16991003265819707536Algebraic K-theory of crystallographic groups1465287UNISALENTOle01301-08-16m@ -engsz 00