Quadruply-transitive permutation groups whose four-point stabilizer is a Frobenius group

On the Normal Structure of a One-point Stabilizer in a Doubly Transitive Permutation Group

Let G be a doubly transitive permutation group on a finite set fi, and let K" be a normal subgroup of the stabilizer Ga of a point a in £2. If the action of Ga on the set of orbits of K" in £2—{a} is 2-primitive with kernel K" it is shown that either G is a normal extension of PSL(3, q) or K" n Gy is a strongly closed subgroup of Gay in Ga, where y e £2—{a}. If in addition the action of Go on t...

On Transitive Permutation Groups

We assign names and new generators to the transitive groups of degree up to 15, reflecting their structure.

Generating Transitive Permutation Groups

Constructing transitive permutation groups

This paper presents a new algorithm to classify all transitive subgroups of the symmetric group up to conjugacy. It has been used to determine the transitive groups of degree up to 30.

Fixed-point-free /^-elements in Transitive Permutation Groups

We give sufficient conditions for a finite permutation group to contain a fixed-point-free permutation of/>-power order for a given prime p.