Semifield planes of odd order that admit a subgroup of autotopisms isomorphic to A 4


Тип публикации: статья из журнала

Год издания: 2016

Идентификатор DOI: 10.3103/S1066369X16090024

Ключевые слова: alternating group, autotopism, Baer involution, collineation group, isomorphism, semifield plane, spread set

Аннотация: We develop an approach to constructing and classification of semifield projective planes with the use of a linear space and a spread set. We construct a matrix representation of the spread set of a semifield plane of odd order that admits a Baer involution in the translation complement or a subgroup of autotopisms isomorphic to theПоказать полностьюalternating group A4. We give examples of semifield planes of order 81 satisfying the above indicated condition. © 2016, Allerton Press, Inc.

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Журнал: Russian Mathematics

Выпуск журнала: Vol. 60, Is. 9

Номера страниц: 7-22


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