Cubulating one-relator groups with torsion

Joseph Lauer; Daniel T. Wise; Joseph Lauer

doi:10.1017/S0305004113000285

Cubulating one-relator groups with torsion

Joseph Lauer, Daniel T. Wise, Joseph Lauer

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

Abstract

Let (a₁, …, a_m | wⁿ) be a presentation of a group G, where n 2. We define a system of codimension-1 subspaces in the universal cover, and invoke Sageev's construction to produce an action of G on a CAT(0) cube complex. We show that the action is proper and cocompact when n 4. A fundamental tool is a geometric generalization of Pride's C(2n) small-cancellation result. We prove similar results for staggered groups with torsion.

Original language	English
Pages (from-to)	411-429
Number of pages	19
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	155
Issue number	3
DOIs	https://doi.org/10.1017/S0305004113000285
State	Published - 2013
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1017/S0305004113000285

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title = "Cubulating one-relator groups with torsion",

abstract = "Let (a1, …, am | wn) be a presentation of a group G, where n 2. We define a system of codimension-1 subspaces in the universal cover, and invoke Sageev's construction to produce an action of G on a CAT(0) cube complex. We show that the action is proper and cocompact when n 4. A fundamental tool is a geometric generalization of Pride's C(2n) small-cancellation result. We prove similar results for staggered groups with torsion.",

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AB - Let (a1, …, am | wn) be a presentation of a group G, where n 2. We define a system of codimension-1 subspaces in the universal cover, and invoke Sageev's construction to produce an action of G on a CAT(0) cube complex. We show that the action is proper and cocompact when n 4. A fundamental tool is a geometric generalization of Pride's C(2n) small-cancellation result. We prove similar results for staggered groups with torsion.

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U2 - 10.1017/S0305004113000285

DO - 10.1017/S0305004113000285

M3 - مقالة

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EP - 429

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

IS - 3

ER -

Cubulating one-relator groups with torsion

Abstract

All Science Journal Classification (ASJC) codes

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