Finiteness properties of certain metabelian arithmetic groups in the function field case

Proceedings of the London Mathematical Society

Volumn 75, Issue 2, 1997, Pages 308-322

  Bux, Kai Uwe ^a  

^a GOETHE UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001306383     PISSN: 00246115     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024611597000361     Document Type: Article

References (20)

1. H. ABELS, Finite presentability of S-arithmetic groups - compact presentability of solvable groups, Lecture Notes in Mathematics 1261 (Springer, Berlin, 1987).
2. H. ABELS, 'Finiteness properties of certain arithmetic groups in the function field case', Israel J. Math. 76 (1991) 113-128.
3. H. ABELS and K. S. BROWN, 'Finiteness properties of solvable S-arithmetic groups; an example', J. Pure Appl. Algebra 44 (1987) 77-83.
4. H. ÅBERG, 'Bieri-Strebel valuations (of finite rank)', Proc. London Math. Soc. (3) 52 (1986) 269-304.
5. q[t])', Doctoral thesis, Frankfurt am Main, 1987.
6. P. ABRAMENKO, Twin buildings and applications to S-arithmetic groups, Lecture Notes in Mathematics 1641 (Springer, Berlin, 1996).
7. 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, Bielefeld, 1992.
8. ∞ are virtually of type (FP)', Proc. London Math. Soc. (3) 45 (1982) 365-384.
9. R. BIERI and J. R. J. GROVES, 'The geometry of the set of characters induced by valuations', J. reine angew. Math. 347 (1984) 168-195.
10. R. BIERI and R. STREBEL, 'Valuations and finitely presented metabelian groups', Proc. London Math. Soc. (3) 41 (1980) 439-464.
11. A. BOREL and J.-P. SERRE, 'Corners and arithmetic groups', Comment. Math. Helv. 48 (1974) 244-297.
12. K. S. BROWN, 'Finiteness properties of groups', J. Pure Appl. Algebra 44 (1987) 45-75.
13. H. G. EGGLESTON, Convexity, Cambridge Tracts in Mathematics and Mathematical Physics (Cambridge University Press, 1958).
14. m-conjecture for a class of metabelian groups', J. Algebra 184 (1996) 1175-1204.
15. O. T. O'MEARA, Introduction to quadratic forms (Springer, Berlin, 1973).
16. G. A. NOSKOV, 'Bieri-Strebel invariant and homological finiteness properties of metabelian groups', preprint 93-028, SFB 343, Bielefeld, 1993;
17. Algebra i Logika, to appear.
18. J.-P. SERRE, Trees (Springer, Berlin, 1980).
19. U. STUHLER, 'Homological properties of certain arithmetic groups in the function field case', Invent. Math. 57 (1980) 263-281.
20. A. WEIL, Basic number theory (Springer, Berlin, 1967).