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Palindromic widths of graph of groups

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arxiv 1612.01442 v4 pith:QPOWUBNG submitted 2016-12-05 math.GR math.GT

Krishnendu Gongopadhyay , Swathi Krishna This is my paper · ORCID
classification math.GRmath.GT
keywords palindromicgroupsinfinitewidthamalgamatedgraphgroupproper
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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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