Nuclear properties of loop extensions
Group Theory
2019-04-23 v3
Abstract
The objectives of this paper is to give a systematic investigation of extension theory of loops. A loop extension is (left, right or middle) nuclear, if the kernel of the extension consists of elements associating (from left, right or middle) with all elements of the loop. It turns out that the natural non-associative generalizations of the Schreier's theory of group extensions can be characterized by different types of nuclear properties. Our loop constructions are illustrated by rich families of examples in important loop classes.
Keywords
Cite
@article{arxiv.1505.03270,
title = {Nuclear properties of loop extensions},
author = {Péter T. Nagy},
journal= {arXiv preprint arXiv:1505.03270},
year = {2019}
}
Comments
21 pages