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.
Журнал: Russian Mathematics
Выпуск журнала: Vol. 60, Is. 9
Номера страниц: 7-22