Residual Finiteness of $A_{2,3,2n}$ Triangle Artin Groups

Greyson Meyer

Residual Finiteness of $A_{2,3,2n}$ Triangle Artin Groups

Group Theory 2024-12-11 v1

Authors: Greyson Meyer

Abstract

We prove that triangle Artin groups of the type $A_{2,3,2n}$ are residually finite for all $n\geq4$ . 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.

Keywords

triangle Artin groups residual finiteness graph of groups vertex groups mathematics

Cite

@article{arxiv.2412.07063,
  title  = {Residual Finiteness of $A_{2,3,2n}$ Triangle Artin Groups},
  author = {Greyson Meyer},
  journal= {arXiv preprint arXiv:2412.07063},
  year   = {2024}
}

Comments

27 pages, 35 figures

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