LEADER 02372nam a2200361 i 4500 001 991002955059707536 008 160728s2014 sz | |||| 0|eng d 020 $a9783319081526 035 $ab14259989-39ule_inst 040 $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng 082 04$a512.66$223 084 $aAMS 20H15 084 $aAMS 19A31 084 $aAMS 19B28 084 $aAMS 82D25 084 $aLC QA612.33 100 1 $aFarley, Daniel Scott$0716393 245 10$aAlgebraic K-theory of crystallographic groups :$bthe three-dimensional splitting case /$cby Daniel Scott Farley, Ivonne Johanna Ortiz 260 $aCham [Switzerland] :$bSpringer,$cc2014 300 $ax, 148 p. ;$c24 cm 440 0$aLecture notes in mathematics,$x0075-8434 ;$v2113 520 $aThe Farrell-Jones isomorphism conjecture in algebraic K-theory offers a description of the algebraic K-theory of a group using a generalized homology theory. In cases where the conjecture is known to be a theorem, it gives a powerful method for computing the lower algebraic K-theory of a group. This book contains a computation of the lower algebraic K-theory of the split three-dimensional crystallographic groups, a geometrically important class of three-dimensional crystallographic group, representing a third of the total number. The book leads the reader through all aspects of the calculation. The first chapters describe the split crystallographic groups and their classifying spaces. Later chapters assemble the techniques that are needed to apply the isomorphism theorem. The result is a useful starting point for researchers who are interested in the computational side of the Farrell-Jones isomorphism conjecture, and a contribution to the growing literature in the field 650 0$aGroup theory 650 0$aK-theory 650 0$aCell aggregation$xMathematics 700 1 $aOrtiz, Ivonne Johanna$eauthor$4http://id.loc.gov/vocabulary/relators/aut$0721507 776 08$aPrinted edition:$z9783319081526 907 $a.b14259989$b17-11-16$c28-07-16 912 $a991002955059707536 945 $aLE013 20H FAR11 (2014)$g1$i2013000293547$lle013$op$pE36.39$q-$rl$s- $t0$u1$v0$w1$x0$y.i1578745x$z17-11-16 996 $aAlgebraic K-theory of crystallographic groups$91465287 997 $aUNISALENTO 998 $ale013$b28-07-16$cm$da $e-$feng$gsz $h0$i0