CUBULATING HYPERBOLIC FREE-BY-CYCLIC GROUPS: THE IRREDUCIBLE CASE

被引：19

作者：

Hagen, Mark F. ^{[1
]}

Wise, Daniel T. ^{[2
]}

机构：

[1] Univ Cambridge, Dept Pure Math & Math Stat, 16 Mill Lane, Cambridge CB2 1SB, England

[2] McGill Univ, Dept Math & Stat, Montreal, PQ, Canada

来源：

DUKE MATHEMATICAL JOURNAL | 2016年 / 165卷 / 09期

基金：

加拿大自然科学与工程研究理事会; 美国国家科学基金会;

关键词：

AUTOMORPHISMS; FINITENESS; THEOREM;

D O I：

10.1215/00127094-3450752

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let V be a finite graph, and let phi : V -> V be an irreducible train track map whose mapping torus has word-hyperbolic fundamental group G. Then G acts freely and cocompactly on a CAT(0) cube complex. Hence, if F is a finite-rank free group and if Phi : F -> F is an irreducible monomorphism so that G = F-*Phi:. is word-hyperbolic, then G acts freely and cocompactly on a CAT(0) cube complex. This holds, in particular, if 01) is an irreducible automorphism with G = F (x Phi) Z word-hyperbolic.

引用

页码：1753 / 1813

页数：61

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