On Wednesday 28th of February 2024 the Charlotte Scott Centre for Algebra had the pleasure to welcome Gemma Crowe (Heriot-Watt University) for a seminar about her work on twisted conjugacy decision problem.
Title: Twisted conjugacy in dihedral Artin groups
Abstract: In 2009, Bogopolski, Martino and Ventura proved an equivalence between conjugacy in group extensions and twisted conjugacy. Using their construction, one can find both decidable and undecidable results for the conjugacy problem in larger classes of groups, by instead studying the twisted conjugacy problem.
In this talk I will give a brief survey of this lesser-known decision problem, how this construction using group extensions works, and mention some ongoing work on twisted conjugacy in dihedral Artin groups.
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