On alternating subgroup \(A_5\) in autotopism group of finite semifield plane

DOI10.33048/SEMI.2020.17.004zbMath1432.51006OpenAlexW3015369693MaRDI QIDQ2306030

Ol'ga Vadimovna Kravtsova

Publication date: 20 March 2020

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2020.17.004

zbMATH Keywords

alternating groupautotopism groupsemifield plane

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Finite affine and projective planes (geometric aspects) (51E15) Semifields (12K10) Translation planes and spreads in linear incidence geometry (51A40)

Related Items (2)

Semifield planes admitting the quaternion group \(Q_8\) ⋮ Unnamed Item

Cites Work

• Semifield planes of odd order that admit a subgroup of autotopisms isomorphic to \(A_4\)
• A semifield plane of odd order admitting an autotopism subgroup isomorphic to \(A_5\)
• Semifield planes of even order that admit the Baer involution
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