Finiteness properties of arithmetic groups over function fields

被引：33

作者：

Bux, Kai-Uwe ^{[1
]}

Wortman, Kevin

机构：

[1] Univ Virginia, Dept Math, Charlottesville, VA 22903 USA

[2] Yale Univ, Dept Math, New Haven, CT 06520 USA

来源：

INVENTIONES MATHEMATICAE | 2007年 / 167卷 / 02期

关键词：

PRESENTABILITY; GENERATION; LATTICES;

D O I：

10.1007/s00222-006-0017-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine when an arithmetic subgroup of a reductive group defined over a global function field is of type FP infinity by comparing its largescale geometry to the large-scale geometry of lattices in real semisimple Lie groups.

引用

页码：355 / 378

页数：24

共 49 条

[1] FINITENESS PROPERTIES OF CERTAIN ARITHMETIC GROUPS IN THE FUNCTION-FIELD CASE
ABELS, H
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1991, 76 (1-2) : 113 - 128
[2] Abels H., 1997, TRANSFORM GROUPS, V2, P119
[3] Abramenko P, 1996, Lecture Notes in Mathematics, V1641
[4] ABRAMENKO P, 1987, THESIS FRANKFURT
[5] FINITENESS PROPERTIES OF CHEVALLEY GROUPS OVER F(q)[t]
Abramenko, Peter
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1994, 87 (1-3) : 203 - 223
[6] FINITE GENERATION OF ARITHMETIC GROUPS OVER FUNCTION FIELDS
BEHR, H
[J]. INVENTIONES MATHEMATICAE, 1969, 7 (01) : 1 - &
[7] Behr H, 1998, J REINE ANGEW MATH, V495, P79
[8] Behr H., 1979, LONDON MATH SOC LECT, V36, P213
[9] Morse theory and finiteness properties of groups
Bestvina, M
Brady, N
[J]. INVENTIONES MATHEMATICAE, 1997, 129 (03) : 445 - 470
[10] C-HOMOLOGY OF CORNERS AND S-ARITHMETIC GROUPS
BOREL, A
SERRE, JP
[J]. TOPOLOGY, 1976, 15 (03) : 211 - 232

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