Volume 8, issue 2 (2004)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 26
Issue 7, 2855–3306
Issue 6, 2405–2853
Issue 5, 1907–2404
Issue 4, 1435–1905
Issue 3, 937–1434
Issue 2, 477–936
Issue 1, 1–476

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Interests
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Author Index
To Appear
 
Other MSP Journals
Finiteness properties of soluble arithmetic groups over global function fields

Kai-Uwe Bux

Geometry & Topology 8 (2004) 611–644
Bibliography
1 H Abels, Finite presentability of S–arithmetic groups. Compact presentability of solvable groups, 1261, Springer (1987) MR903449
2 H Abels, K S Brown, Finiteness properties of solvable S–arithmetic groups : an example, from: "Proceedings of the Northwestern conference on cohomology of groups (Evanston, Ill., 1985)" (1987) 77 MR885096
3 H Abels, A Tiemeyer, Compactness properties of locally compact groups, Transform. Groups 2 (1997) 119 MR1451359
4 H Åberg, Bieri–Strebel valuations (of finite rank), Proc. London Math. Soc. (3) 52 (1986) 269 MR818928
5 P Abramenko, Chevalleygruppen, manuscript, Frankfurt (1994)
6 P Abramenko, Twin buildings and applications to S-arithmetic groups, 1641, Springer (1996) MR1624276
7 G Baumslag, W W Boone, B H Neumann, Some unsolvable problems about elements and subgroups of groups, Math. Scand. 7 (1959) 191 MR0163948
8 H Behr, Endliche Erzeugbarkeit arithmetischer Gruppen über Funktionenkörpern, Invent. Math. 7 (1969) 1 MR0238853
9 H Behr, Arithmetic groups over function fields: A complete characterization of finitely generated and finitely presented arithmetic subgroups of reductive algebraic groups, preprint 92–033, SFB 343, Bielefield (1992) MR1603845
10 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
11 M Bestvina, N Brady, Morse theory and finiteness properties of groups, Invent. Math. 129 (1997) 445 MR1465330
12 R Bieri, Finiteness length and connectivity length for groups, from: "Geometric group theory down under (Canberra, 1996)", de Gruyter (1999) 9 MR1714837
13 R Bieri, B Eckmann, Finiteness properties of duality groups, Comment. Math. Helv. 49 (1974) 74 MR0340450
14 R Bieri, R Geoghegan, Connectivity properties of group actions on non-positively curved spaces, Mem. Amer. Math. Soc. 161 (2003) MR1950396
15 R Bieri, B Renz, Valuations on free resolutions and higher geometric invariants of groups, Comment. Math. Helv. 63 (1988) 464 MR960770
16 R Bieri, R Strebel, Valuations and finitely presented metabelian groups, Proc. London Math. Soc. (3) 41 (1980) 439 MR591649
17 A Borel, Linear algebraic groups, 126, Springer (1991) MR1102012
18 A Borel, J P Serre, Cohomologie d’immeubles et de groupes S–arithmétiques, Topology 15 (1976) 211 MR0447474
19 K S Brown, Cohomology of groups, 87, Springer (1982) MR672956
20 K S Brown, Finiteness properties of groups, from: "Proceedings of the Northwestern conference on cohomology of groups (Evanston, Ill., 1985)" (1987) 45 MR885095
21 K S Brown, Buildings, Springer (1989) MR969123
22 F Bruhat, J Tits, Groupes réductifs sur un corps local, Inst. Hautes Études Sci. Publ. Math. (1972) 5 MR0327923
23 F Bruhat, J Tits, Groupes réductifs sur un corps local II : Schémas en groupes. Existence d’une donnée radicielle valuée, Inst. Hautes Études Sci. Publ. Math. (1984) 197 MR756316
24 K U Bux, Finiteness properties of certain metabelian arithmetic groups in the function field case, Proc. London Math. Soc. (3) 75 (1997) 308 MR1455858
25 K U Bux, Endlichkeitseigenschaften auflösbarer arithmetischer Gruppen über Funktionenkörpern, PhD thesis, Frankfurt (1997)
26 K U Bux, Finiteness properties of soluble S–arithmetic groups : a survey, from: "Groups: topological, combinatorial and arithmetic aspects", London Math. Soc. Lecture Note Ser. 311, Cambridge Univ. Press (2004) 64 MR2073347
27 , Algebraic number theory, , Academic Press (1967) MR0215665
28 C Chevalley, Certains schémas de groupes semi-simples, from: "Séminaire Bourbaki, Vol. 6", Soc. Math. France (1995) 219 MR1611814
29 , Group theory, Academic Press [Harcourt Brace Jovanovich Publishers] (1984) MR780565
30 D H Kochloukova, The FPm–conjecture for a class of metabelian groups, J. Algebra 184 (1996) 1175 MR1407892
31 H Meinert, The homological invariants for metabelian groups of finite Prüfer rank : a proof of the Σm–conjecture, Proc. London Math. Soc. (3) 72 (1996) 385 MR1367084
32 H Meinert, Actions on 2–complexes and the homotopical invariant Σ2 of a group, J. Pure Appl. Algebra 119 (1997) 297 MR1453518
33 B H Neumann, Some remarks on infinite groups, J. London. Math. Soc. 12 (1937) 120
34 B Renz, Geometrische Invarianten und Endlichkeitseigenschaften von Gruppen, PhD thesis, Frankfurt (1988)
35 M Ronan, Lectures on buildings, 7, Academic Press (1989) MR1005533
36 J P Serre, Trees, Springer (1980) MR607504
37 R Steinberg, Lectures on Chevalley groups, mimeographed notes, Yale University (1967)
38 R Strebel, Finitely presented soluble groups, from: "Group theory", Academic Press (1984) 257 MR780572
39 U Stuhler, Zur Frage der endlichen Präsentierbarkeit gewisser arithmetischer Gruppen im Funktionenkörperfall, Math. Ann. 224 (1976) 217 MR0419631
40 U Stuhler, Homological properties of certain arithmetic groups in the function field case, Invent. Math. 57 (1980) 263 MR568936
41 A Tiemeyer, A local-global principle for finiteness properties of S–arithmetic groups over number fields, Transform. Groups 2 (1997) 215 MR1451365
42 J Tits, Uniqueness and presentation of Kac–Moody groups over fields, J. Algebra 105 (1987) 542 MR873684
43 C T C Wall, Finiteness conditions for CW–complexes, Ann. of Math. (2) 81 (1965) 56 MR0171284
44 C T C Wall, Homological group theory, 36, Cambridge University Press (1979) MR564417
45 A Weil, Basic number theory, , Springer (1995) MR1344916