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100   $a20160212h20162016  uy             0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt
182   $cc
183   $acr
200 10$aGroup ring groups$hVolume 2$iStructure theorems of unit groups /$fEric Jespers, A?ngel del Ri?o Mateos
210  1$aBerlin, Germany ;$aBoston, [Massachusetts] :$cDe Gruyter,$d2016.
210  4$d©2016
215   $a1 online resource (228 pages) $cillustrations
225 1 $aDe Gruyter Graduate
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-11-041149-0 
320   $aIncludes bibliographical references and indexes.
327   $tFront matter --$tPreface --$tContents --$t14. Free Groups --$t15. Hyperbolic geometry --$t16. Poincaré's Theorem --$t17. Fundamental polyhedra --$t18. Unit groups of orders in quaternion algebras --$t19. Virtually free-by-free groups --$tReferences --$tIndex of Notation --$tIndex
330   $aThis two-volume graduate textbook gives a comprehensive, state-of-the-art account of describing large subgroups of the unit group of the integral group ring of a finite group and, more generally, of the unit group of an order in a finite dimensional semi-simple rational algebra. Since the book is addressed to graduate students as well as young researchers, all required background on these diverse areas, both old and new, is included. Supporting problems illustrate the results and complete some of the proofs. Volume 1 contains all the details on describing generic constructions of units and the subgroup they generate. Volume 2 mainly is about structure theorems and geometric methods. Without being encyclopedic, all main results and techniques used to achieve these results are included. Basic courses in group theory, ring theory and field theory are assumed as background.
410  0$aDe Gruyter graduate.
606   $aGroup rings
606   $aRings (Algebra)
608   $aElectronic books.
615  0$aGroup rings.
615  0$aRings (Algebra)
676   $a512.4
700   $aJespers$b Eric$061542
702   $adel Ri?o Mateos$b A?ngel
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910460805403321
996   $aGroup ring groups$92492680
997   $aUNINA