The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
We give here a sketch of the proof of the following Kaplansky conjecture: any three-dimensional division algebra over a finite field is associative or a twisted field. The detailed proof will appear in a forthcoming paper.
This paper contains the following results on semifields of order , , : a) it is found a class of semifields which generalizes that of R. Sandler [2]; b) it is showed a process which is used for deriving, from any semifield belonging to the class in a), a different semifield with the same order.
Main theorem: In every projective plane of Marshall Hall of order () there are complete q-arcs.
Existence of ovals, which are contained in a class of Moulton's planes of order ( odd), is proved. This class of Moulton's planes is more general than the one considered for the same purpose by Korchmáros in [2]. Furthermore some examples are given of complete -arcs, which are contained in certain Moulton's planes of order ( even).
Download Results (CSV)