Linear groups as right multiplication groups of quasifields

Nagy, Gábor Péter (2014) Linear groups as right multiplication groups of quasifields. DESIGNS CODES AND CRYPTOGRAPHY, 72 (1). pp. 153-164. ISSN 0925-1022

Preview

Text 1210.1652.pdf Available under License Creative Commons Attribution. Download (186kB) | Preview

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 fi- nite 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 iso- morphism of the corresponding translation planes.

Actions (login required)

Edit Item