On the almost palindromic width of certain free constructions of groups
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866910034378620928 |
|---|---|
| author | Gongopadhyay, Krishnendu Singh, Shrinit |
| author_facet | Gongopadhyay, Krishnendu Singh, Shrinit |
| contents | 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}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_13671 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the almost palindromic width of certain free constructions of groups Gongopadhyay, Krishnendu Singh, Shrinit Group Theory 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}. |
| title | On the almost palindromic width of certain free constructions of groups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2412.13671 |