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024 7 $a10.1007/978-3-319-08153-3
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100   $a20140827d2014      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aAlgebraic K-theory of Crystallographic Groups $eThe Three-Dimensional Splitting Case /$fby Daniel Scott Farley, Ivonne Johanna Ortiz
205   $a1st ed. 2014.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014.
215   $a1 online resource (X, 148 p.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2113
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-319-08152-7 
330   $aThe Farrell-Jones isomorphism conjecture in algebraic K-theory offers a description of the algebraic K-theory of a group using a generalized homology theory. In cases where the conjecture is known to be a theorem, it gives a powerful method for computing the lower algebraic K-theory of a group. This book contains a computation of the lower algebraic K-theory of the split three-dimensional crystallographic groups, a geometrically important class of three-dimensional crystallographic group, representing a third of the total number. The book leads the reader through all aspects of the calculation. The first chapters describe the split crystallographic groups and their classifying spaces. Later chapters assemble the techniques that are needed to apply the isomorphism theorem. The result is a useful starting point for researchers who are interested in the computational side of the Farrell-Jones isomorphism conjecture, and a contribution to the growing literature in the field.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v2113
606   $aK-theory
606   $aGroup theory
606   $aManifolds (Mathematics)
606   $aComplex manifolds
606   $aK-Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11086
606   $aGroup Theory and Generalizations$3https://scigraph.springernature.com/ontologies/product-market-codes/M11078
606   $aManifolds and Cell Complexes (incl. Diff.Topology)$3https://scigraph.springernature.com/ontologies/product-market-codes/M28027
615  0$aK-theory.
615  0$aGroup theory.
615  0$aManifolds (Mathematics).
615  0$aComplex manifolds.
615 14$aK-Theory.
615 24$aGroup Theory and Generalizations.
615 24$aManifolds and Cell Complexes (incl. Diff.Topology).
676   $a512.55
700   $aFarley$b Daniel Scott$4aut$4http://id.loc.gov/vocabulary/relators/aut$0716393
702   $aOrtiz$b Ivonne Johanna$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910300142403321
996   $aAlgebraic K-theory of Crystallographic Groups$92374675
997   $aUNINA