Palindromic widths of graph of groups

2016/12/05 by Krishnendu Gongopadhyay, Swathi Krishna, Gongopadhyay, Krishnendu +1
Mathematics · #Advanced Operator Algebra Research #FOS: Mathematics #Finite Group Theory Research #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.1612.01442

openalex publication_date 2016/12/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the palindromic width of HNN extension of a group by proper associated subgroups is infinite. We also prove that the palindromic width of the amalgamated free product of two groups via a proper subgroup is infinite (except when the amalgamated subgroup has index two in each of the factors). Combining these results it follows that the palindromic width of the fundamental group of a graph of groups is mostly infinite.

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