On the almost palindromic width of certain free constructions of groups
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}.
Fields of Study & Subjects
Geometric and Algebraic Topology
Finite Group Theory Research
Advanced Topology and Set Theory
Publication details
- Journal / source
- Communications in Algebra
- Pages
- 1–8
- Publication date
- 30 April 2026
- Language
- EN