000 03047nam a22004935i 4500
001 978-3-319-08153-3
003 DE-He213
005 20190213151801.0
007 cr nn 008mamaa
008 140827s2014 gw | s |||| 0|eng d
020 _a9783319081533
_9978-3-319-08153-3
024 7 _a10.1007/978-3-319-08153-3
_2doi
050 4 _aQA612.33
072 7 _aPBPD
_2bicssc
072 7 _aMAT002010
_2bisacsh
072 7 _aPBPD
_2thema
082 0 4 _a512.66
_223
100 1 _aFarley, Daniel Scott.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aAlgebraic K-theory of Crystallographic Groups
_h[electronic resource] :
_bThe Three-Dimensional Splitting Case /
_cby Daniel Scott Farley, Ivonne Johanna Ortiz.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2014.
300 _aX, 148 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2113
520 _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.
650 0 _aK-theory.
650 0 _aGroup theory.
650 0 _aCell aggregation
_xMathematics.
650 1 4 _aK-Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M11086
650 2 4 _aGroup Theory and Generalizations.
_0http://scigraph.springernature.com/things/product-market-codes/M11078
650 2 4 _aManifolds and Cell Complexes (incl. Diff.Topology).
_0http://scigraph.springernature.com/things/product-market-codes/M28027
700 1 _aOrtiz, Ivonne Johanna.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319081540
776 0 8 _iPrinted edition:
_z9783319081526
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2113
856 4 0 _uhttps://doi.org/10.1007/978-3-319-08153-3
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c11874
_d11874