Bicollapsibility and groups with torsion

Jonah Gaster; Daniel T. Wise

doi:10.1007/s11856-024-2666-1

Bicollapsibility and groups with torsion

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

Abstract

We introduce the notion of a bicollapsible 2-complex. This allows us to generalize the hyperbolicity of one-relator groups with torsion to a broader class of groups with presentations whose relators are proper powers. We also prove that many such groups act properly and cocompactly on a CAT(0) cube complex.

Original language	English
Pages (from-to)	501-532
Number of pages	32
Journal	Israel Journal of Mathematics
Volume	265
DOIs	https://doi.org/10.1007/s11856-024-2666-1
State	Published - Feb 2025
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s11856-024-2666-1

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title = "Bicollapsibility and groups with torsion",

abstract = "We introduce the notion of a bicollapsible 2-complex. This allows us to generalize the hyperbolicity of one-relator groups with torsion to a broader class of groups with presentations whose relators are proper powers. We also prove that many such groups act properly and cocompactly on a CAT(0) cube complex.",

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AU - Wise, Daniel T.

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N2 - We introduce the notion of a bicollapsible 2-complex. This allows us to generalize the hyperbolicity of one-relator groups with torsion to a broader class of groups with presentations whose relators are proper powers. We also prove that many such groups act properly and cocompactly on a CAT(0) cube complex.

AB - We introduce the notion of a bicollapsible 2-complex. This allows us to generalize the hyperbolicity of one-relator groups with torsion to a broader class of groups with presentations whose relators are proper powers. We also prove that many such groups act properly and cocompactly on a CAT(0) cube complex.

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U2 - 10.1007/s11856-024-2666-1

DO - 10.1007/s11856-024-2666-1

M3 - مقالة

SN - 0021-2172

VL - 265

SP - 501

EP - 532

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

ER -

Bicollapsibility and groups with torsion

Abstract

All Science Journal Classification (ASJC) codes

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