Olga V. Kravtsova, Sergei V. Panov, Irina V. Shevelyova, “Some results on isomorphisms of finite semifield planes”, J. Sib. Fed. Univ. Math. Phys., 2013, Volume 6, Issue 1,Pages <nobr>33

This article is cited in 3 papers

Some results on isomorphisms of finite semifield planes

Olga V. Kravtsova^a, Sergei V. Panov^b, Irina V. Shevelyova^a

^a Institute of Core Undergraduate Programmes, Siberian Federal University, Krasnoyarsk, Russia
^b Institute of Mathematics and Computer Science, Siberian Federal University, Krasnoyarsk, Russia

Abstract: The authors extend an approach to construct and classify the semifield projective planes using the linear space and spread set. Follows results are given: an estimate of the order of autotopism group and a number of isomorphic semifield planes defined by fixed linear space.

Keywords: semifield plane, linear space, spread set, isomorphism, autotopism group.

UDC: 512.145

Received: 01.10.2012
Received in revised form: 08.11.2012
Accepted: 06.12.2012

Language: English