On Schur Rings Over a Semi Dihedral Group
Group Theory
2024-05-07 v2
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.
Keywords
Cite
@article{arxiv.2309.06976,
title = {On Schur Rings Over a Semi Dihedral Group},
author = {Hao Yu},
journal= {arXiv preprint arXiv:2309.06976},
year = {2024}
}
Comments
During the modification process, we encountered a gap (Lemma 3.8)