Higher dimensional generalizations of the Thompson groups via higher rank graphs

Mark V Lawson; Aidan Sims; Alina Vdovina

Higher dimensional generalizations of the Thompson groups via higher rank graphs

Group Theory 2023-02-28 v3 Category Theory

Authors: Mark V Lawson , Aidan Sims , Alina Vdovina

Abstract

We construct a family of groups from suitable higher rank graphs which are analogues of the finite symmetric groups. We introduce homological invariants showing that many of our groups are, for example, not isomorphic to $nV$ , when $n \geq 2$ .

Keywords

higher rank graphs thompson groups finite symmetric groups homological invariants group isomorphisms

Cite

@article{arxiv.2010.08960,
  title  = {Higher dimensional generalizations of the Thompson groups via higher rank graphs},
  author = {Mark V Lawson and Aidan Sims and Alina Vdovina},
  journal= {arXiv preprint arXiv:2010.08960},
  year   = {2023}
}

Comments

Some minor typos have been corrected. An incorrect proof has been corrected. Section 8 has been reordered a little. Further minor typos corrected

Higher dimensional generalizations of the Thompson groups via higher rank graphs

Abstract

Keywords

Cite

Comments

Related papers