Semifield planes of odd order that admit a subgroup of autotopisms isomorphic to \(A_4\)

DOI10.3103/S1066369X16090024zbMath1358.51005MaRDI QIDQ327955

Ol'ga Vadimovna Kravtsova

Publication date: 20 October 2016

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

isomorphismalternating groupautotopismBaer involutioncollineation groupsemifield planespread set

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Spreads and packing problems in finite geometry (51E23) Translation planes and spreads in linear incidence geometry (51A40)

Related Items (7)

2-elements in an autotopism group of a semifield projective plane ⋮ Problems on structure of finite quasifields and projective translation planes ⋮ Elementary abelian 2-subgroups in an autotopism group of a semifield projective plane ⋮ Semifield planes admitting the quaternion group \(Q_8\) ⋮ Unnamed Item ⋮ A semifield plane of odd order admitting an autotopism subgroup isomorphic to \(A_5\) ⋮ On alternating subgroup \(A_5\) in autotopism group of finite semifield plane

Cites Work

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• 8 semifield planes of order \(8^ 2\)
• A structure theory for two-dimensional translation planes of order \(q^2\) that admit collineation groups of order \(q^2\)
• On semifield planes of order \(16^ 2\)
• Matrix spread sets of \(p\)-primitive semifield planes
• Semifield planes of even order that admit the Baer involution

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