English

Some simplicial complexes of universal Osborn loops

Group Theory 2014-02-05 v1

Abstract

A loop is shown to be a universal Osborn loop if and only if it has a particular simplicial complex. A loop is shown to be a universal Osborn loop and obeys two new identities if and only if it has another particular simplicial complex. A universal Osborn loop and four of its isotopes are shown to form a rectangular pyramid in a 33-dimensional space.

Keywords

Cite

@article{arxiv.1402.0499,
  title  = {Some simplicial complexes of universal Osborn loops},
  author = {Temitope Gbolahan Jaiyeola},
  journal= {arXiv preprint arXiv:1402.0499},
  year   = {2014}
}

Comments

14 pages, 6 figures

R2 v1 2026-06-22T03:00:12.565Z