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arXiv · 2412.13671

On the almost palindromic width of certain free constructions of groups

Krishnendu Gongopadhyay·Shrinit Singh
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Abstract

We provide a general structural criterion implying that a group has infinite $m$-almost palindromic width. In particular, we prove that both HNN extensions and free products exhibit infinite $m$-almost palindromic width, with the unique exception of the infinite dihedral group among free products. This framework extends and strengthens the results of \cite{MS} and \cite{GK}.

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Krishnendu Gongopadhyay, Shrinit Singh. 2024-12-18. On the almost palindromic width of certain free constructions of groups. https://arxiv.org/abs/2412.13671

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