01885nam a2200337 i 4500991003263299707536160728s2014 sz a b 001 0 eng d9783319064765b14305380-39ule_instBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematicaeng512.223AMS 20E42AMS 20G30AMS 57QxxLC QA3.L38Witzel, Stefan718153Finiteness properties of arithmetic groups acting on twin buildings /Stefan WitzelCham [Switzerland] :Springer,c2014xvi, 113 p. :ill. ;24 cmLecture notes in mathematics,0075-8434 ;2109Includes bibliographical references (pages 101-105) and indexBasic definitions and properties ; Finiteness properties of G(Fq[t]) ; Finiteness properties of G(Fq[t, t-1]) ; Adding places"Providing 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."--Page 4 of coverBuildings (Group theory)Finite geometries.b1430538017-11-1628-07-16991003263299707536LE013 20E WIT11 (2014)12013000293523le013pE36.39-l- 01010.i1578743617-11-16Finiteness properties of arithmetic groups acting on twin buildings1392283UNISALENTOle01328-07-16ma -engsz 00