Add to ORKGHighly transitive groups We say that a group action is 5-transitive, if for every two 5-tuples of distinct points there is a group action mapping one of the tuples to the other one. In this thesis, we will construct W12 and W24 Steiner systems as three-point extensions of the affine plane AG2(3) and the projective plane PG2(4). We will conclude that the automorphism groups of the systems, so called Mathieu groups M12 and M24, are 5-transitive.
International audienceWe establish a sharp sufficient condition for groups acting on trees to be hig...
International audienceWe establish a sharp sufficient condition for groups acting on trees to be hig...
International audienceWe establish a sharp sufficient condition for groups acting on trees to be hig...
AbstractThis paper describes the Steiner triple systems which have automorphism groups acting transi...
An action of a group $G$ is highly transitive if $G$ acts transitively on $k$-tuples of distinct poi...
An action of a group $G$ is highly transitive if $G$ acts transitively on $k$-tuples of distinct poi...
An action of a group $G$ is highly transitive if $G$ acts transitively on $k$-tuples of distinct poi...
An action of a group $G$ is highly transitive if $G$ acts transitively on $k$-tuples of distinct poi...
AbstractAssuming that the classification theorem for finite simple groups is complete, a conjecture ...
We show that, up to an automorphism, there is a unique independent set in PG(5,2) that meet every hy...
AbstractIt is shown that there exist exactly three non-isomorphic non-cyclic Steiner triple systems ...
All known finite sharply 4-transitive permutation sets containing the identity are groups, namely S...
All known finite sharply 4-transitive permutation sets containing the identity are groups, namely S...
International audienceWe establish a sharp sufficient condition for groups acting on trees to be hig...
International audienceWe establish a sharp sufficient condition for groups acting on trees to be hig...
International audienceWe establish a sharp sufficient condition for groups acting on trees to be hig...
International audienceWe establish a sharp sufficient condition for groups acting on trees to be hig...
International audienceWe establish a sharp sufficient condition for groups acting on trees to be hig...
AbstractThis paper describes the Steiner triple systems which have automorphism groups acting transi...
An action of a group $G$ is highly transitive if $G$ acts transitively on $k$-tuples of distinct poi...
An action of a group $G$ is highly transitive if $G$ acts transitively on $k$-tuples of distinct poi...
An action of a group $G$ is highly transitive if $G$ acts transitively on $k$-tuples of distinct poi...
An action of a group $G$ is highly transitive if $G$ acts transitively on $k$-tuples of distinct poi...
AbstractAssuming that the classification theorem for finite simple groups is complete, a conjecture ...
We show that, up to an automorphism, there is a unique independent set in PG(5,2) that meet every hy...
AbstractIt is shown that there exist exactly three non-isomorphic non-cyclic Steiner triple systems ...
All known finite sharply 4-transitive permutation sets containing the identity are groups, namely S...
All known finite sharply 4-transitive permutation sets containing the identity are groups, namely S...
International audienceWe establish a sharp sufficient condition for groups acting on trees to be hig...
International audienceWe establish a sharp sufficient condition for groups acting on trees to be hig...
International audienceWe establish a sharp sufficient condition for groups acting on trees to be hig...
International audienceWe establish a sharp sufficient condition for groups acting on trees to be hig...
International audienceWe establish a sharp sufficient condition for groups acting on trees to be hig...