Volume 17, issue 1 (2013)

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Spherical subcomplexes of spherical buildings

Bernd Schulz

Geometry & Topology 17 (2013) 531–562
Bibliography
1 H Abels, Finiteness properties of certain arithmetic groups in the function field case, Israel J. Math. 76 (1991) 113 MR1177335
2 H Abels, P Abramenko, On the homotopy type of subcomplexes of Tits buildings, Adv. Math. 101 (1993) 78 MR1239453
3 P Abramenko, Endlichkeitseigenschaften der Gruppen SLn(đť”˝q[t]), PhD thesis, Frankfurt am Main (1987)
4 P Abramenko, Twin buildings and applications to S-arithmetic groups, 1641, Springer (1996) MR1624276
5 P Abramenko, K S Brown, Buildings, 248, Springer (2008) MR2439729
6 P Abramenko, H Van Maldeghem, Intersections of apartments, J. Combin. Theory Ser. A 117 (2010) 440 MR2592893
7 H Behr, Arithmetic groups over function fields I : A complete characterization of finitely generated and finitely presented arithmetic subgroups of reductive algebraic groups, J. Reine Angew. Math. 495 (1998) 79 MR1603845
8 A Björner, Some combinatorial and algebraic properties of Coxeter complexes and Tits buildings, Adv. in Math. 52 (1984) 173 MR744856
9 A Björner, Topological methods, from: "Handbook of combinatorics, Volume II" (editors R L Graham, M Grötschel, L Lovász), Elsevier (1995) 1819 MR1373690
10 M R Bridson, A Haefliger, Metric spaces of non-positive curvature, 319, Springer (1999) MR1744486
11 K S Brown, Finiteness properties of groups, from: "Proceedings of the Northwestern conference on cohomology of groups (Evanston, Ill., 1985)" (1987) 45 MR885095
12 F Buekenhout, The basic diagram of a geometry, from: "Geometries and groups (Berlin, 1981)" (editors M Aigner, D Jungnickel), Lecture Notes in Math. 893, Springer (1981) 1 MR655057
13 K U Bux, K Wortman, Finiteness properties of arithmetic groups over function fields, Invent. Math. 167 (2007) 355 MR2270455
14 K U Bux, K Wortman, Connectivity properties of horospheres in Euclidean buildings and applications to finiteness properties of discrete groups, Invent. Math. 185 (2011) 395 MR2819164
15 K U Buz, R Gramlich, S Witzel, Finiteness properties of Chevalley groups over a polynomial ring over a finite field arXiv:0908.4531v4
16 K U Buz, R Köhl, S Witzel, Higher finiteness properties of reductive arithmetic groups in positive characteristic: the rank theorem, Ann. of Math. 177 (2013) 311
17 R Charney, A Lytchak, Metric characterizations of spherical and Euclidean buildings, Geom. Topol. 5 (2001) 521 MR1833752
18 J Dymara, D Osajda, Boundaries of right-angled hyperbolic buildings, Fund. Math. 197 (2007) 123 MR2365885
19 A von Heydebreck, Homotopy properties of certain complexes associated to spherical buildings, Israel J. Math. 133 (2003) 369 MR1968436
20 P J Hilton, S Wylie, Homology theory : An introduction to algebraic topology, Cambridge Univ. Press (1960) MR0115161
21 B Kleiner, B Leeb, Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings, Inst. Hautes Études Sci. Publ. Math. (1997) 115 MR1608566
22 D Quillen, Homotopy properties of the poset of nontrivial p–subgroups of a group, Adv. in Math. 28 (1978) 101 MR493916
23 B Schulz, Sphärische Unterkomplexe sphärischer Gebäude, PhD thesis, Frankfurt am Main (2005)
24 E H Spanier, Algebraic topology, McGraw–Hill Book Co. (1966) MR0210112
25 U Stuhler, Homological properties of certain arithmetic groups in the function field case, Invent. Math. 57 (1980) 263 MR568936
26 J Tits, Buildings of spherical type and finite BN-pairs, 386, Springer (1974) MR0470099
27 J Tits, Ensembles ordonnés, immeubles et sommes amalgamées, Bull. Soc. Math. Belg. Sér. A 38 (1986) 367 MR885545
28 K Vogtmann, Spherical posets and homology stability for On,n, Topology 20 (1981) 119 MR605652
29 S Witzel, Finiteness properties of Chevalley groups over the Laurent polynomial ring over a finite field arXiv:1007.5216