MARC Record from marc_columbia

LEADER: 03294mam a22003614a 4500
001 3242998
005 20221020015146.0
008 011115t20022002maua b 001 0 eng
010 $a 2001050674
020 $a1402002386 (alk. paper)
035 $a(OCoLC)ocm48495100
035 $9AUL7052CU
035 $a(NNC)3242998
035 $a3242998
040 $aDLC$cDLC$dNNC$dOrLoB-B
042 $apcc
050 00 $aQA174.2$b.S34 2002
082 00 $a512/.4$221
100 1 $aSehgal, Sudarshan K.,$d1936-$0http://id.loc.gov/authorities/names/n78049998
245 13 $aAn introduction to group rings /$cby César Polcino Milies and Sudarshan K. Sehgal.
260 $aDordrecht ;$aBoston :$bKluwer Academic Publishers,$c[2002], ©2002.
263 $a0202
300 $axi, 371 pages :$billustrations ;$c25 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aAlgebras and applications
504 $aIncludes bibliographical references and index.
505 00 $g1.$tGroups.$g1.1.$tBasic Concepts.$g1.2.$tHomomorphisms and Factor Groups.$g1.3.$tAbelian Groups.$g1.4.$tGroup Actions, p-groups and Sylow Subgroups.$g1.5.$tSolvable and Nilpotent Groups.$g1.6.$tFC Groups.$g1.7.$tFree Groups and Free Products.$g1.8.$tHamiltonian Groups.$g1.9.$tThe Hirsch Number --$g2.$tRings, Modules and Algebras.$g2.1.$tRings and Ideals.$g2.2.$tModules and Algebras.$g2.3.$tFree Modules and Direct Sums.$g2.4.$tFiniteness Conditions.$g2.5.$tSemisimplicity.$g2.6.$tThe Wedderburn-Artin Theorem.$g2.7.$tThe Jacobson Radical.$g2.8.$tRings of Algebraic Integers.$g2.9.$tOrders.$g2.10.$tTensor Products --$g3.$tGroup Rings.$g3.1.$tA Brief History.$g3.2.$tBasic Facts.$g3.3.$tAugmentation Ideals.$g3.4.$tSemisimplicity.$g3.5.$tAbelian Group Algebras.$g3.6.$tSome Commutative Subalgebras --$g4.$tA Glance at Group Representations.$g4.1.$tDefinition and Examples.$g4.2.$tRepresentations and Modules --$g5.$tGroup Characters.$g5.1.$tBasic Facts.$g5.2.$tCharacters and Isomorphism Questions --
505 80 $g6.$tIdeals in Group Rings.$g6.1.$tRing Theoretic Formulas.$g6.2.$tNilpotent Ideals.$g6.3.$tNilpotent Augmentation Ideals.$g6.4.$tSemiprime Group Rings.$g6.5.$tPrime Group Rings.$g6.6.$tChain Conditions in KG --$g7.$tAlgebraic Elements.$g7.1.$tIntroduction.$g7.2.$tIdempotent Elements.$g7.3.$tTorsion Units.$g7.4.$tNilpotent Elements --$g8.$tUnits of Group Rings.$g8.1.$tIntroduction.$g8.2.$tTrivial Units.$g8.3.$tFinite Groups.$g8.4.$tUnits of ZS[subscript 3].$g8.5.$tInfinite Groups.$g8.6.$tFinite Generation of U(ZG).$g8.7.$tCentral Units --$g9.$tThe Isomorphism Problem.$g9.1.$tIntroduction.$g9.2.$tThe Normal Subgroup Correspondence.$g9.3.$tMetabelian Groups.$g9.4.$tCircle Groups.$g9.5.$tFurther Results.$g9.6.$tThe Modular Isomorphism Problem --$g10.$tFree Groups of Units.$g10.1.$tFree Groups.$g10.2.$tFree Groups of Units.$g10.3.$tExplicit Free Groups.$g10.4.$tExplicit Free Groups in H --$g11.$tProperties of the Unit Group.$g11.1.$tIntegral Group Rings.$g11.2.$tGroup Algebras.
650 0 $aGroup rings.$0http://id.loc.gov/authorities/subjects/sh85057496
700 1 $aMilies, César Polcino.$0http://id.loc.gov/authorities/names/n96079669
830 0 $aAlgebras and applications.$0http://id.loc.gov/authorities/names/n2001014747
852 00 $bmat$hQA174.2$i.S34 2002