02391nam a2200493 i 4500991003350469707536170328s2016 de b 001 0 eng d9783110372786(v. 1 :alk. paper)9783110411492(v. 2)b14320587-39ule_instBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematicaeng512.423AMS 16-02AMS 20-02AMS 16U60AMS 16S34AMS 20C05AMS 16H10LC QA251.35.J47Jespers, Eric61542Group ring groups /by Eric Jespers, Ángel del RíoBerlin ;Boston :De Gruyter,c20162 v. :ill. ;24 cmtexttxtrdacontentunmediatednrdamediavolumencrdacarrierDe Gruyter graduateThis 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 methodsIncludes bibliographical references and indexVol. 1:Orders and generic constructions of units Vol. 2:Structure theorems of unit groupsGroup ringsTextbooksAlgebra and number theoryUnit groups (Ring theory)TextbooksRings (Algebra)TextbooksRío, Ángel delauthorhttp://id.loc.gov/vocabulary/relators/aut132108De Gruyter graduate.b1432058705-06-1728-03-17991003350469707536LE013 16-XX JES12 V.I (2016)V. 112013000294681le013pE59.96-l- 00000.i1580936505-06-17LE013 16-XX JES12 V.II (2016)V. 212013000294698le013pE39.96-l- 00000.i1580937705-06-17Group ring groups1520423UNISALENTOle01328-03-17ma -engde 00