On the almost palindromic width of certain free constructions of groups

2024/12/18 by Gongopadhyay, Krishnendu, Singh, Shrinit
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2412.13671

Abstract

We study m-almost palindromic width of the fundamental group of a graph of groups. Specifically, we prove that m-almost palindromic width of the HNN extension and amalgamated free product is infinite, except for the case when the amalgamated subgroup has index two in each factor. This result generalizes the work \citeMS and \citeGK.

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