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arXiv · 2206.05795

Powers with minimal commutator length in free products of groups

Vadim Bereznyuk
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Abstract

Given a free product of groups $G = {\large *}_{j \in J} A_j$ and a natural number $n$, what is the minimal possible commutator length of an element $g^n \in G$ not conjugate to elements of the free factors? We give an exhaustive answer to this question.

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BibTeXRIS

Vadim Bereznyuk. 2022-06-12. Powers with minimal commutator length in free products of groups. https://doi.org/10.1016/j.jalgebra.2023.04.008

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