Article contents
Cubulating one-relator groups with torsion
Published online by Cambridge University Press: 25 July 2013
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.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 155 , Issue 3 , November 2013 , pp. 411 - 429
- Copyright
- Copyright © Cambridge Philosophical Society 2013
References
REFERENCES
- 3
- Cited by