Results 71 to 80 of about 102 (85)

Fractional dimension of binary Knuth semifield planes

Journal of Combinatorial Designs, 2011
AbstractWe prove that semifield planes π(𝕂2m) coordinatized by the commutative binary Knuth semifield 𝕂2m, m=nk (m odd) are fractional dimensional with respect to a subplane isomorphic to PG(2, 4) if either n=9 or n≡\0(mod 3) and one of the trinomials xn+xs+1, s∈{1, 2, 3, 5}, is irreducible over the Galois field 𝔽2. © 2012 Wiley Periodicals, Inc.
POLVERINO, Olga, Trombetti R.
openaire   +4 more sources

On Elations of Derived Semifield Planes

Proceedings of the London Mathematical Society, 1977
Johnson, N. L., Rahilly, Alan
openaire   +2 more sources

Linear Autotopism Subgroups of Semifield Projective Planes

2023
Изучается известная гипотеза Д. Хьюза 1959 г. о разрешимости полной группы коллинеаций недезарговой полуполевой проективной плоскости конечного порядка (также вопрос 11.76 Н. Д. Подуфалова в Коуровской тетради). Эта гипотеза редуцируется к группе автотопизмов, состоящей из коллинеаций, фиксирующих треугольник.
Kravtsova, Olga V., Skok, Daria S.
openaire   +1 more source

Semifield Planes of Order 81

Journal of Geometry, 2008
openaire   +1 more source

Semifield Planes Admitting the Quaternion Group Q8

Algebra and Logic, 2020
exaly  

A note on commutative semifield planes

Advances in Geometry, 2018
Yue Zhou
exaly  

Collineation groups of derived semifield planes II

Archiv Der Mathematik, 1974
N L Johnson, Johnson N L
exaly  

A note on finite semifield planes that admit affine homologies

Journal of Geometry, 1985
Vikram Jha, Norman L Johnson, Jha Vikram   +2 more
exaly  

Collineation groups of derived semifield planes III

Archiv Der Mathematik, 1975
N L Johnson, Johnson N L
exaly  

Fractional dimension of binary Knuth semifield planes

Journal of Combinatorial Designs, 2012
Olga Polverino, Rocco Trombetti
exaly