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Powers with minimal commutator length in free products of groups (2206.05795v2)
Published 12 Jun 2022 in math.GR
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 $gn \in G$ not conjugate to elements of the free factors? We give an exhaustive answer to this question.
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