No growth-gaps for special cube complexes

Jiakai Li; Daniel T. Wise

doi:10.4171/GGD/537

No growth-gaps for special cube complexes

Research output: Contribution to journal › Article › peer-review

Abstract

Let G be the fundamental group of a compact special cube complex. We show that if G is nontrivial then there is a sequence of infinite-index quasiconvex subgroups whose growth-rates converge to the growth-rate of G.

Original language	English
Pages (from-to)	117-135
Number of pages	19
Journal	Groups, Geometry, and Dynamics
Volume	14
Issue number	1
DOIs	https://doi.org/10.4171/GGD/537
State	Published - 2020
Externally published	Yes

All Science Journal Classification (ASJC) codes

Geometry and Topology
Discrete Mathematics and Combinatorics

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title = "No growth-gaps for special cube complexes",

abstract = "Let G be the fundamental group of a compact special cube complex. We show that if G is nontrivial then there is a sequence of infinite-index quasiconvex subgroups whose growth-rates converge to the growth-rate of G.",

author = "Jiakai Li and Wise, \{Daniel T.\}",

note = "Publisher Copyright: {\textcopyright} European Mathematical Society",

year = "2020",

doi = "10.4171/GGD/537",

language = "الإنجليزيّة",

volume = "14",

pages = "117--135",

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AU - Wise, Daniel T.

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AB - Let G be the fundamental group of a compact special cube complex. We show that if G is nontrivial then there is a sequence of infinite-index quasiconvex subgroups whose growth-rates converge to the growth-rate of G.

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M3 - مقالة

SN - 1661-7207

VL - 14

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EP - 135

JO - Groups, Geometry, and Dynamics

JF - Groups, Geometry, and Dynamics

IS - 1

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No growth-gaps for special cube complexes

Abstract

All Science Journal Classification (ASJC) codes

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