English

An investigation into the cyclically presented groups with length three positive relators

Group Theory 2019-08-13 v2

Abstract

We continue research into the cyclically presented groups with length three positive relators. We study small cancellation conditions and SQ-universality, we obtain the Betti numbers of the groups' abelianisations, we calculate the orders of the abelianisations of some groups, and we study isomorphism classes of the groups. Through computational experiments we assess how effective the abelianisation is as an invariant for distinguishing non-isomorphic groups.

Keywords

Cite

@article{arxiv.1806.06821,
  title  = {An investigation into the cyclically presented groups with length three positive relators},
  author = {Esamaldeen Mohamed and Gerald Williams},
  journal= {arXiv preprint arXiv:1806.06821},
  year   = {2019}
}

Comments

28 pages, 3 tables

R2 v1 2026-06-23T02:33:35.818Z