Тип публикации: статья из журнала
Год издания: 2022
Идентификатор DOI: 10.17516/1997-1397-2022-15-3-379-385
Ключевые слова: autotopism, baer involution, homology, semifield plane, spread set
Аннотация: We investigate the well-known hypothesis of D. R. Hughes that the full collineation group of a non-Desarguesian semifield projective plane of a finite order is solvable (the question 11.76 in Kourovka notebook was written down by N. D. Podufalov). The spread set method allows us to prove that any non-Desarguesian semifield plane ofПоказать полностьюorder pN, where p ≡ 1 (mod 4) is prime, does not admit an autotopism subgroup isomorphic to the dihedral group of order 8. As a corollary, we obtain the extensive list of simple non-Abelian groups which cannot be the autotopism subgroups. © Siberian Federal University. All rights reserved.
Журнал: Journal of Siberian Federal University - Mathematics and Physics
Выпуск журнала: Vol. 15, Is. 3
Номера страниц: 379-385
ISSN журнала: 19971397
Издатель: Siberian Federal University