Classifying spaces for the family of virtually abelian subgroups of orientable 3-manifold groups

被引：4

作者：

Leon alvarez, Porfirio L.

Sanchez Saldana, Luis Jorge ^{[1
,2
]}

机构：

[1] Univ Nacl Autonoma Mexico, Fac Ciencias, Dept Matemat, Circuito Exterior S-N,Colonia Copilco Bajo, Mexico City 04510, DF, Mexico

[2] Univ Nacl Autonoma Mexico, Inst Matemat, Oaxaca De Juarez 68000, Oaxaca, Mexico

来源：

FORUM MATHEMATICUM | 2022年 / 34卷 / 05期

关键词：

Cohomological dimension; geometric dimension; 3-manifold groups; virtually abelian groups; acylindrical splittings; classifying spaces; families of subgroups; ALGEBRAIC K-THEORY; DIMENSION;

D O I：

10.1515/forum-2022-0006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a group G, let F-n be the family of all subgroups of G containing a subgroup of finite index isomorphic to Z(r) for some r = 0, 1, 2,..., n. Joecken, Lafont and Sanchez Saldana computed the F-1-geometric dimension of 3-manifold groups. As a natural extension of the aforementioned result, the goal of this article is to compute the F-n-geometric dimension of 3-manifold groups for all n >= 2.

引用

页码：1277 / 1296

页数：20

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