A Semifield Plane of Odd Order Admitting an Autotopism Subgroup Isomorphic to A 5

We develop an approach to constructing and classifying semifield projective planes with the use of a spread set. The famous conjecture is discussed on the solvability of the full collineation group of a finite semifield nondesarguesian plane. We construct a matrix representation of a spread set of a...

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Bibliographic Details
Published in:Siberian mathematical journal 2018-03, Vol.59 (2), p.309-322
Main Authors: Kravtsova, O V, Durakov, B K
Format: Article
Language:English
Subjects:
Construction planning
Matrix representation
Planes
Subgroups
Online Access:Get full text
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Summary:We develop an approach to constructing and classifying semifield projective planes with the use of a spread set. The famous conjecture is discussed on the solvability of the full collineation group of a finite semifield nondesarguesian plane. We construct a matrix representation of a spread set of a semifield plane of odd order admitting an autotopism subgroup isomorphic to the alternating group A5 and find a series of semifield planes of odd order not admitting A5.
ISSN:0037-4466
1573-9260
DOI:10.1134/S0037446618020143