Half-isomorphisms of Moufang loops
Group Theory
2021-01-19 v2
Abstract
We prove that if the squaring map in the factor loop of a Moufang loop over its nucleus is surjective, then every half-isomorphism of onto a Moufang loop is either an isomorphism or an anti-isomorphism. This generalizes all earlier results in this vein.
Cite
@article{arxiv.1507.00168,
title = {Half-isomorphisms of Moufang loops},
author = {Michael Kinyon and Izabella Stuhl and Petr Vojtechovsky},
journal= {arXiv preprint arXiv:1507.00168},
year = {2021}
}
Comments
8 pages; v.2: fixed typos