Geodesic
On alternating subgroup $A_5$ in autotopism group of finite semifield plane
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 47-50

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We discuss well-known hypothesis that the full collineation group of any finite non-Desarguesian semifield plane is solvable. We continue to investigate the semifield planes of odd order which admit an autotopism subgroup isomorphic to alternating group $A_5$. It is proved that a semifield plane of any odd order does not admit $A_5$ in autotopism group.
Keywords: semifield plane, alternating group.
Mots-clés : autotopism group 
@article{SEMR_2020_17_a2,
     author = {O. V. Kravtsova},
     title = {On alternating subgroup $A_5$ in autotopism group of finite semifield plane},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {47--50},
     publisher = {mathdoc},
     volume = {17},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2020_17_a2/}
}
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O. V. Kravtsova. On alternating subgroup $A_5$ in autotopism group of finite semifield plane. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 47-50. http://geodesic.mathdoc.fr/item/SEMR_2020_17_a2/