A Semifield Plane of Odd Order Admitting an Autotopism Subgroup Isomorphic to A5
- Autores: Kravtsova O.1, Durakov B.1
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Afiliações:
- Siberian Federal University
- Edição: Volume 59, Nº 2 (2018)
- Páginas: 309-322
- Seção: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171788
- DOI: https://doi.org/10.1134/S0037446618020143
- ID: 171788
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Resumo
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.
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Sobre autores
O. Kravtsova
Siberian Federal University
Autor responsável pela correspondência
Email: ol71@bk.ru
Rússia, Krasnoyarsk
B. Durakov
Siberian Federal University
Email: ol71@bk.ru
Rússia, Krasnoyarsk