Title

Homology and closure properties of autostackable groups

Document Type

Article

Publication Date

4-15-2016

Abstract

© 2016 Elsevier Inc. Autostackability for finitely presented groups is a topological property of the Cayley graph combined with formal language theoretic restrictions, that implies solvability of the word problem. The class of autostackable groups is known to include all asynchronously automatic groups with respect to a prefix-closed normal form set, and all groups admitting finite complete rewriting systems. Although groups in the latter two classes all satisfy the homological finiteness condition FP∞, we show that the class of autostackable groups includes a group that is not of type FP3. We also show that the class of autostackable groups is closed under graph products and extensions.

Publication Title

Journal of Algebra

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