Construction and investigation of semifield planes of order 256

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The authors extend the approach to construct and classify semifield projetive planes using linear space and spread set. They show that 124 semifield (nodesarguesian) planes of rank 2 over the field of order 16, that admit baer involution in linear translation complement, do exist. Non-linear isomorphisms of semifield planes of order 256 are constructed; the order of linear autotopisms’ group is calculated; another confirmation of the well-known hypothesis about the solvability of the group of collineations of semifield planes is obtained.

Semifield plane, isomorphism, autotopism, baer involution

Короткий адрес: https://sciup.org/144153666

IDR: 144153666

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