English

Multiplication formulas in Moufang loops

Group Theory 2016-06-22 v1

Abstract

Using groups with triality we obtain some general multiplication formulas in Moufang loops, construct Moufang extensions of abelian groups, and describe the structure of minimal extensions for finite simple Moufang loops over abelian groups.

Keywords

Cite

@article{arxiv.1507.05262,
  title  = {Multiplication formulas in Moufang loops},
  author = {Alexander N. Grishkov and Andrei V. Zavarnitsine},
  journal= {arXiv preprint arXiv:1507.05262},
  year   = {2016}
}
R2 v1 2026-06-22T10:14:32.417Z