Recognisably context-free subsets of groups

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• Alex Levine, Manchester
• Friday 19 January 2024, 13:45-14:45
• MR13.

If you have a question about this talk, please contact Francesco Fournier-Facio.

A subset E of a finitely generated group is called recognisably context-free if the set of all words over a finite generating set that represent elements in E forms a context-free language. This property does not depend on the choice of generating set. A theorem of Muller and Schupp fully classifies when the set {1} can be recognisably context-free, and significant efforts have been devoted to showing that in various classes of groups, the complement of {1} is recognisably context-free. We present some recent results in this area studying when finite sets, conjugacy classes and cosets can be recognisably context-free.

This talk is part of the Geometric Group Theory (GGT) Seminar series.

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