6 research outputs found
Intersection density of transitive groups of certain degrees
Two elements and of a permutation group acting on a set are
said to be intersecting if for some . More generally, a
subset of is an intersecting set if every pair of elements of
is intersecting. The intersection density of a transitive
permutation group is the maximum value of the quotient
where runs over all intersecting sets in and is a
stabilizer of . In this paper the intersection density of transitive
groups of degree twice a prime is determined, and proved to be either or
. In addition, it is proved that the intersection density of transitive
groups of prime power degree is .Comment: 10 page
Semisymmetry Of Generalized Folkman Graphs
A regular edge- but not vertex-transitive graph is said to be semisymmetric. The stud