Palindromic widths of graph of groups
Group Theory
2019-08-26 v4 Geometric Topology
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.
Cite
@article{arxiv.1612.01442,
title = {Palindromic widths of graph of groups},
author = {Krishnendu Gongopadhyay and Swathi Krishna},
journal= {arXiv preprint arXiv:1612.01442},
year = {2019}
}
Comments
final version. To appear in Proc. Indian Acad. Sc. (Math. Sc.)