Тип публикации: статья из журнала
Год издания: 2020
Идентификатор DOI: 10.1007/s10469-020-09583-y
Ключевые слова: semifield plane, autotopism group, quaternion group, baire involution, homology, regular set
Аннотация: We discuss a well-known conjecture that the full automorphism group of a finite projective plane coordinatized by a semifield is solvable. For a semifield plane of order p(N) (p > 2 is a prime, 4|p - 1) admitting an autotopism subgroup H isomorphic to the quaternion group Q(8), we construct a matrix representation of H and a regulaПоказать полностьюr set of the plane. All nonisomorphic semifield planes of orders 5(4) and 13(4) admitting Q(8) in the autotopism group are pointed out. It is proved that a semifield plane of order p(4), 4|p-1, does not admit SL(2, 5) in the autotopism group.
Журнал: ALGEBRA AND LOGIC
Выпуск журнала: Vol. 59, Is. 1
Номера страниц: 71-81
ISSN журнала: 00025232
Место издания: NEW YORK
Издатель: SPRINGER