The degree of a class of minimal non-PS-groupsThe degree of a class of minimal non-PS-groupsM. H. Abbaspour

We show that the least n such that we can embed the minimal non-PS-group G=〈a,b:aq=b4=1,ab=baq-1〉\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\,\,G ={\big <}a, b \,:\, a^{q} = b^{4} = 1, ab=ba^{q-1} {\big >}$$\end{document} in the symmetric group Sn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\textrm{S}_{n}$$\end{document} is q+4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$q+4$$\end{document}.