On Schur Rings Over a Semi Dihedral Group

Abstract

In this paper, we shall show that the only primitive Schur ring over a semi dihedral group is the trivial one and every semi dihedral subgroup is Burnside group, that is a primitive group containing a regular subgroup isomorphic to the semi dihedral subgroup is necessarily 2-transitive.

During the modification process, we encountered a gap (Lemma 3.8)