NYJM Logo

New York Journal of Mathematics
Volume 32 (2026), 808-836

  

Greyson Meyer

Residual finiteness of A2,3,2n triangle Artin groups

view    print


Published: May 19, 2026.
Keywords: Artin groups, geometric group theory, graphs of groups.
Subject [2020]: Primary 20F36; Secondary 20E06, 20F65.

Abstract
We prove that triangle Artin groups of the type A2,3,2n are residually finite for all n>3. This requires splitting these triangle Artin groups as graphs of groups and then proving that each of these graphs of groups has finite stature with respect to its vertex groups.

Acknowledgements

The author thanks Kasia Jankiewicz for her guidance & support, as well as the referee for their insightful feedback.


Author information

Greyson Meyer
Department of Mathematics
University of California Santa Cruz
1156 High St, Santa Cruz, CA 95060, USA

greyson.meyer@gmail.com