Word problems for finite nilpotent groups

Abstract: We consider word maps on finite nilpotent groups and count the sizes of the fibres for elements in the image. We consider Amit’s conjecture and its generalisation, which say that these fibres should have size at least $\lvert G \rvert^{k−1}$, where the word is on $k$ variables. This is joint work with Ainhoa Iñiguez and Anitha Thillaisundaram.

group theory

Audience: researchers in the topic

GOThIC - Ischia Online Group Theory Conference

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