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010   $a3-319-06477-0
024 7 $a10.1007/978-3-319-06477-2
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035   $a(DE-He213)978-3-319-06477-2
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035   $a(MiAaPQ)EBC5586493
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035   $a(EXLCZ)993710000000212189
100   $a20140716d2014      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aFiniteness Properties of Arithmetic Groups Acting on Twin Buildings /$fby Stefan Witzel
205   $a1st ed. 2014.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014.
215   $a1 online resource (XVI, 113 p. 11 illus.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2109
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-319-06476-2 
327   $aBasic Definitions and Properties -- Finiteness Properties of G(Fq[t]) -- Finiteness Properties of G(Fq[t; t-1]) -- Affine Kac-Moody Groups -- Adding Places.
330   $aProviding an accessible approach to a special case of the Rank Theorem, the present text considers the exact finiteness properties of S-arithmetic subgroups of split reductive groups in positive characteristic when S contains only two places. While the proof of the general Rank Theorem uses an involved reduction theory due to Harder, by imposing the restrictions that the group is split and that S has only two places, one can instead make use of the theory of twin buildings.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v2109
606   $aGroup theory
606   $aGeometry
606   $aManifolds (Mathematics)
606   $aComplex manifolds
606   $aAlgebraic topology
606   $aGroup Theory and Generalizations$3https://scigraph.springernature.com/ontologies/product-market-codes/M11078
606   $aGeometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21006
606   $aManifolds and Cell Complexes (incl. Diff.Topology)$3https://scigraph.springernature.com/ontologies/product-market-codes/M28027
606   $aAlgebraic Topology$3https://scigraph.springernature.com/ontologies/product-market-codes/M28019
615  0$aGroup theory.
615  0$aGeometry.
615  0$aManifolds (Mathematics)
615  0$aComplex manifolds.
615  0$aAlgebraic topology.
615 14$aGroup Theory and Generalizations.
615 24$aGeometry.
615 24$aManifolds and Cell Complexes (incl. Diff.Topology).
615 24$aAlgebraic Topology.
676   $a512.2
700   $aWitzel$b Stefan$4aut$4http://id.loc.gov/vocabulary/relators/aut$0718153
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910300148203321
996   $aFiniteness properties of arithmetic groups acting on twin buildings$91392283
997   $aUNINA