Separable subgroups of mapping class groups

被引：9

作者：

Leininger, Christopher J.

McReynolds, D. B.

机构：

[1] Univ Texas, Dept Math, Austin, TX 78712 USA

[2] Univ Illinois, Dept Math, Urbana, IL 61801 USA

来源：

TOPOLOGY AND ITS APPLICATIONS | 2007年 / 154卷 / 01期

关键词：

Johnson filtration; mapping class groups; subgroup separability; solvable subgroups;

D O I：

10.1016/j.topol.2006.03.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate separability questions for the mapping class group of a surface. While this group is not subgroup separable in general, we prove a large family of interesting subgroups are separable. This includes many classically studied subgroups such as solvable subgroups, Heegaard and Handlebody groups, geometric subgroups, and all the terms in the Johnson filtration. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：1 / 10

页数：10

共 50 条

[21] Dehn twists and free subgroups of symplectic mapping class groups
Keating, Ailsa M.
JOURNAL OF TOPOLOGY, 2014, 7 (02) : 436 - 474
[22] Right-angled Artin groups as normal subgroups of mapping class groups
Clay, Matt
Mangahas, Johanna
Margalit, Dan
COMPOSITIO MATHEMATICA, 2021, 157 (08) : 1807 - 1852
[23] Geometric normal subgroups in mapping class groups of punctured surfaces
McLeay, Alan
NEW YORK JOURNAL OF MATHEMATICS, 2019, 25 : 839 - 888
[24] Automorphism subgroups of finite index in algebraic mapping class groups
Dicks, W
Formanek, E
JOURNAL OF ALGEBRA, 1997, 189 (01) : 58 - 89
[25] CENTERS OF SUBGROUPS OF BIG MAPPING CLASS GROUPS AND THE TITS ALTERNATIVE
Lanier, Justin
Loving, Marissa
GLASNIK MATEMATICKI, 2020, 55 (01) : 85 - 91
[26] A NOTE ON THE NORMAL-SUBGROUPS OF MAPPING CLASS-GROUPS
LONG, DD
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1986, 99 : 79 - 87
[27] Curve complexes and finite index subgroups of mapping class groups
Behrstock, Jason
Margalit, Dan
GEOMETRIAE DEDICATA, 2006, 118 (01) : 71 - 85
[28] Curve Complexes and Finite Index Subgroups of Mapping Class Groups
Jason Behrstock
Dan Margalit
Geometriae Dedicata, 2006, 118 : 71 - 85
[29] Schottky subgroups of mapping class groups and the geometry of surface-by-free groups
Mosher, L
RIGIDITY IN DYNAMICS AND GEOMETRY: CONTRIBUTIONS FROM THE PROGRAMME ERGODIC THEORY, GEOMETRIC RIGIDITY AND NUMBER THEORY, 2002, : 309 - 319
[30] Isotype separable subgroups of mixed abelian groups
Megibben, C
Ullery, W
ABELIAN GROUPS, RINGS, MODULES, AND HOMOLOGICAL ALGEBRA, 2006, 249 : 241 - +

← 1 2 3 4 5 →