Results 71 to 80 of about 102 (87)

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

The centre of a finite semifield plane is a geometric invariant

Archiv der Mathematik, 1988
It is well known that the left, middle, and right nucleus, of a finite semifield are geometric invariants, that is, they do not change if the plane is recoordinatized by another semifield. On the other hand, the nucleus of the semified is in general not a geometric invariant.
Jha, V., Johnson, N. L.
openaire   +2 more sources

On Elations of Derived Semifield Planes

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

Fractional dimension of binary Knuth semifield planes

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

A note on the derived semifield planes of order 16

Aequationes Mathematicae, 1977
N L Johnson
exaly  

Semifield Planes of Order 81

Journal of Geometry, 2008
openaire   +1 more source

Collineation groups of derived semifield planes II

Archiv Der Mathematik, 1974
N L Johnson
exaly  

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 III

Archiv Der Mathematik, 1975
N L Johnson
exaly