Cubulating Small Cancellation Free Products
Kasia Jankiewicz, Daniel T. Wise
TL;DR
This paper presents a simplified method for cubulating small-cancellation quotients of free products of cubulated groups, leading to the construction of fundamental groups of compact nonpositively curved cube complexes that do not virtually split.
Contribution
It introduces a new simplified approach to cubulation in small-cancellation theory for free products, expanding the class of groups known to act on nonpositively curved cube complexes.
Findings
Constructed fundamental groups of compact nonpositively curved cube complexes
Provided a simplified cubulation method for small-cancellation quotients
Showed these groups do not virtually split
Abstract
We give a simplified approach to the cubulation of small-cancellation quotients of free products of cubulated groups. We construct fundamental groups of compact nonpositively curved cube complexes that do not virtually split.
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Taxonomy
TopicsGeometric and Algebraic Topology · Mathematical Dynamics and Fractals · Algebraic Geometry and Number Theory