Introduction: Non-Associative Finite Invertible Loops
Group Theory
2009-07-30 v1
Abstract
Non-associative finite invertible loops (NAFIL) are loops whose every element has a unique two-sided inverse. Not much is known about the class of NAFIL loops which includes the familiar IP (Inverse Property), Moufang, and Bol loops. Our studies have shown that they are involved in such diverse fields as combinatorics, finite geometries, quasigroups and related systems, Cayley algebras, as well as in theoretical physics. This paper presents and introductions to the class of NAFIL loops as the starting point for the development of the theory of these interesting structures.
Keywords
Cite
@article{arxiv.0907.5059,
title = {Introduction: Non-Associative Finite Invertible Loops},
author = {Raoul E. Cawagas},
journal= {arXiv preprint arXiv:0907.5059},
year = {2009}
}