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This article is cited in 3 scientific papers (total in 3 papers)
Mathematical logic, algebra and number theory
On alternating subgroup $A_5$ in autotopism group of finite semifield plane
O. V. Kravtsova Siberian Federal University, 79, Svobodny ave., Krasnoyarsk, 660041, Russia
Abstract:
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, autotopism group, alternating group.
Received December 5, 2019, published January 31, 2020
Citation:
O. V. Kravtsova, “On alternating subgroup $A_5$ in autotopism group of finite semifield plane”, Sib. Èlektron. Mat. Izv., 17 (2020), 47–50
Linking options:
https://www.mathnet.ru/eng/semr1198 https://www.mathnet.ru/eng/semr/v17/p47
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Abstract page: | 256 | Full-text PDF : | 123 | References: | 19 |
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