English

The classification on simple Moufang loops

Rings and Algebras 2008-04-15 v1

Abstract

Let C(F)C(F) be a matrix Cayley-Dickson algebra over field FF. By M0(F)M_0(F) we denote the loop containing of all elements of algebra C(F)C(F) with norm 1. It is shown in this paper that with precision till isomorphism the loops M0(F)/<1>M_0(F)/<-1> they and only they are simple non-associative Moufang loops, where FF are subfields of algebraic closed field

Cite

@article{arxiv.0804.2048,
  title  = {The classification on simple Moufang loops},
  author = {N. I. Sandu},
  journal= {arXiv preprint arXiv:0804.2048},
  year   = {2008}
}

Comments

8 pages

R2 v1 2026-06-21T10:30:16.844Z