The Bianchi groups are separable on geometrically finite subgroups

被引：55

作者：

Agol, I ^{[1
]}

Long, DD

Reid, AW

机构：

[1] Univ Illinois, Chicago, IL USA

[2] Univ Calif Santa Barbara, Santa Barbara, CA 93106 USA

[3] Univ Texas, Austin, TX 78712 USA

来源：

ANNALS OF MATHEMATICS | 2001年 / 153卷 / 03期

关键词：

D O I：

10.2307/2661363

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let d be a square free positive integer and O-d the ring of integers in Q(root -d). The main result of this paper is that the groups PSL(2,O-d) are subgroup separable on geometrically finite subgroups.

引用

页码：599 / 621

页数：23

共 30 条

[1] ENDS OF HYPERBOLIC MANIFOLDS OF DIMENSION-3 [J].

BONAHON, F .

ANNALS OF MATHEMATICS, 1986, 124 (01) :71-158

[2] ARITHMETIC SUBGROUPS OF ALGEBRAIC GROUPS [J].

BOREL, A ;

HARISHCHANDRA .

ANNALS OF MATHEMATICS, 1962, 75 (03) :485-&

[3]

Borel A., 1963, TOPOLOGY, V2, P111, DOI 10.1016/0040-9383(63)90026-0

[4] GEOMETRICAL FINITENESS FOR HYPERBOLIC GROUPS [J].

BOWDITCH, BH .

JOURNAL OF FUNCTIONAL ANALYSIS, 1993, 113 (02) :245-317

[5]

BUGAYENKO VO, 1984, VESTN MOSK U MAT M+, P6

[6] A NOTE ON GROUPS WITH SEPARABLE FINITELY GENERATED SUBGROUPS [J].

BURNS, RG ;

KARRASS, A ;

SOLITAR, D .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1987, 36 (01) :153-160

[7] THE SMALLEST ARITHMETIC HYPERBOLIC 3-ORBIFOLD [J].

CHINBURG, T ;

FRIEDMAN, E .

INVENTIONES MATHEMATICAE, 1986, 86 (03) :507-527

[8] Some surface subgroups survive surgery [J].

Cooper, D. ;

Long, D. D. .

GEOMETRY & TOPOLOGY, 2001, 5 :347-367

[9] Computing arithmetic invariants of 3-manifolds [J].

Coulson, D ;

Goodman, OA ;

Hodgson, CD ;

Neumann, WD .

EXPERIMENTAL MATHEMATICS, 2000, 9 (01) :127-152

[10]

COXETER HSM, 1968, TWELVE GEOMETRIC ESS, P200

← 1 2 3 →