LEADER 02391nam a2200493 i 4500 001 991003350469707536 008 170328s2016 de b 001 0 eng d 020 $a9783110372786$q(v. 1 :$qalk. paper) 020 $a9783110411492$q(v. 2) 035 $ab14320587-39ule_inst 040 $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng 082 04$a512.4$223 084 $aAMS 16-02 084 $aAMS 20-02 084 $aAMS 16U60 084 $aAMS 16S34 084 $aAMS 20C05 084 $aAMS 16H10 084 $aLC QA251.35.J47 100 1 $aJespers, Eric$061542 245 10$aGroup ring groups /$cby Eric Jespers, Ángel del Río 264 1$aBerlin ;$aBoston :$bDe Gruyter,$cc2016 300 $a2 v. :$bill. ;$c24 cm 336 $atext$btxt$2rdacontent 337 $aunmediated$bn$2rdamedia 338 $avolume$bnc$2rdacarrier 490 1 $aDe Gruyter graduate 500 $aThis two-volume graduate textbook gives a comprehensive, state-of-the-art account of describing large subgroups of the unit group of the integral group ring of a finite group and, more generally, of the unit group of an order in a finite dimensional semisimple rational algebra. Supporting problems illustrate the results and complete some of the proofs. Volume 1 contains all details on describing generic constructions of units and their subgroups. Volume 2 mainly is about structure theorems and geometric methods 504 $aIncludes bibliographical references and index 505 0 $gVol. 1:$tOrders and generic constructions of units 505 0 $gVol. 2:$tStructure theorems of unit groups 650 0$aGroup rings$vTextbooks 650 0$aAlgebra and number theory 650 0$aUnit groups (Ring theory)$vTextbooks 650 0$aRings (Algebra)$vTextbooks 700 1 $aRío, Ángel del$eauthor$4http://id.loc.gov/vocabulary/relators/aut$0132108 830 0$aDe Gruyter graduate 907 $a.b14320587$b05-06-17$c28-03-17 912 $a991003350469707536 945 $aLE013 16-XX JES12 V.I (2016)$cV. 1$g1$i2013000294681$lle013$op$pE59.96$q-$rl$s- $t0$u0$v0$w0$x0$y.i15809365$z05-06-17 945 $aLE013 16-XX JES12 V.II (2016)$cV. 2$g1$i2013000294698$lle013$op$pE39.96$q-$rl$s- $t0$u0$v0$w0$x0$y.i15809377$z05-06-17 996 $aGroup ring groups$91520423 997 $aUNISALENTO 998 $ale013$b28-03-17$cm$da $e-$feng$gde $h0$i0