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.
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页数：23
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