Linear groups as right multiplication groups of quasifields
Combinatorics
2019-09-10 v1 Group Theory
Abstract
For quasifields, the concept of parastrophy is slightly weaker than isotopy. Parastrophic quasifields yield isomorphic translation planes but not conversely. We investigate the right multiplication groups of finite quasifields. We classify all quasifields having an exceptional finite transitive linear group as right multiplication group. The classification is up to parastrophy, which turns out to be the same as up to the isomorphism of the corresponding translation planes.
Cite
@article{arxiv.1210.1652,
title = {Linear groups as right multiplication groups of quasifields},
author = {Gábor P. Nagy},
journal= {arXiv preprint arXiv:1210.1652},
year = {2019}
}