Collineation groups of the smallest Bol 3-nets
Group Theory
2007-05-23 v1
Abstract
Some associativity properties of a loop can be interpreted as certain closure configuration of the corresponding 3-net. It was known that the smallest non-associative loops with the so called left Bol property have order 8. In this paper, we determine the direction preserving collineation groups of the 3-nets belonging to these smallest Bol loops. For that, we prove some new results concerning collineations of 3-nets and autotopisms of loops.
Cite
@article{arxiv.math/0411317,
title = {Collineation groups of the smallest Bol 3-nets},
author = {Gabor P. Nagy},
journal= {arXiv preprint arXiv:math/0411317},
year = {2007}
}
Comments
Appeared in Note di Matematica 14(1):115-128, 1994