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Tue, 01 Dec 2026
15:00
L6

The conjugacy problem in twisted right-angled Artin groups

Gemma Crowe
Abstract
There exists a vast literature around the idea of constructing groups (and monoids) via some correspondence with finite simple graphs. One well-known example is right-angled Artin groups (RAAGs), where edges in our graph correspond to commuting generators in our group.
 
In this talk, we will discuss an adaptation of this group, known as twisted RAAGs (T-RAAGs), where we introduce the option of ‘Klein-bottle’ relations, to correspond to directed edges of our graph. We will then survey some results about these groups (including many open questions!) and show T-RAAGs have a decidable conjugacy problem. This is based on joint work with Islam Foniqi.
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