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Splittings of triangle Artin groups

Authors :
Jankiewicz, Kasia
Publication Year :
2021

Abstract

We show that a triangle Artin group $\text{Art}_{MNP}$ where $M\leq N\leq P$ splits as an amalgamated product or an HNN extension of finite rank free groups, provided that either $M>2$, or $N>3$. We also prove that all even three generator Artin groups are residually finite.<br />Comment: 15 pages, 7 figures. Comments are welcome!

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2103.01343
Document Type :
Working Paper