A cubical Rips construction

被引：0

作者：

Arenas, Macarena ^{[1
]}

机构：

[1] Univ Cambridge, Ctr Math Sci, DPMMS, Cambridge, England

来源：

ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2024年 / 24卷 / 08期

关键词：

QUASI-CONVEX SUBGROUPS; THEOREM; FILLINGS; PRODUCTS; CAT(0);

D O I：

10.2140/agt.2024.24.4353

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a finitely presented group Q and a compact special cube complex X with nonelementary hyperbolic fundamental group, we produce a nonelementary torsion-free cocompactly cubulated hyperbolic group F that surjects onto Q, with kernel isomorphic to a quotient of G = 7r1 X and such that max{cd(G), 2} >= cd(F) >= cd(G)- 1.

引用

页数：23

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