Quasiprimitive groups with a biregular dihedral subgroup,and arc-transitive bidihedrants

Jiangmin Pan, Fu-Gang Yin, Jin-Xin Zhou

A semiregular permutation group on a set $\Ome$ is called {\em bi-regular} if it has two orbits. A classification is given of quasiprimitive permutation groups with a biregular dih…