PSL rating is a scale used in PSL Community to rate human physical attractiveness. It claims to measure attractiveness on a more normal distribution than the Decile chart commonly used by Normies to rate attractiveness, which is often claimed by proponents of the PSL scale to render inflated attractiveness ratings.

2017年8月4日 · 若π e (H)={1，2，3，4，7}.首先，假设N≠1.由G是极小阶反例，我们可以得到 H ≅PSL 2 (7).由于N可解，所以|π(N)|≤2.同理，我们得到|π(N)|=1.无妨设N是p群.如果p=3或p=7，则S 2 ∈Syl 2 (H)是循环群或广义四元数群，这与 H ≅PSL 2 (7)矛盾.因此p=2，N是2-群.由 …

In mathematics, the projective special linear group PSL (2, 7), isomorphic to GL (3, 2), is a finite simple group that has important applications in algebra, geometry, and number theory. It is the automorphism group of the Klein quartic as well as the symmetry group of the Fano plane.

Let $\alpha \in {\rm Aut}({\rm PSL}(2,7)$. Now PSL$(2,7)$ acts 2-transitively by conjugation on its 8 Sylow $7-$subgroups. Since these must also be permuted under the action of $\alpha$, $\alpha$ is induced by conjugation by an element $a \in S_8$. By multiplying $a$ by an inner automorphism, we may assume that it fixes a specific Sylow $7 ...

It is PSL(2;7), GL(3;2), or the automorphism group of the Fano plane. Call it G. G subset A7, and the restriction of the double cover A~7 produces the double cover SL(2;7) of G. Mestre1: G has a generic Galois construction over any number eld. Mestre2: Let f(x) be a poly of degree 7 with square disc and Galois group contained in G.

群的阶、谱及素图是有限群研究的基本工具.利用有限群的数量性质（如群的阶，元素的阶，素图等）来研究群的结构和性质是有限群研究的热点问题.施武杰教授率先提出用纯数量来刻画有限单群，即利用“两阶”来刻画有限单群，并提出了著名的施武杰猜想 ...

2017年4月8日 · In this paper, we try characterizing the finite simple group PSL 2 (7) without using the "Classification of Finite Simple Groups". Instead, we show by an elementary proof that...

2012年12月2日 · Because $|a|=7$, we must have $7 \mid |G|$, and so $m_7=1$. Let $C_1 = \langle a\rangle$ and note that $C_1 \in Syl_7(G)$ Let us find $n_7$, the number of conjugates of $C_1$ in $G$.

1990年8月20日 · Subgroups of SU (2) were found to be related to the A-D-E classification of Wess-Zumino-Witten models based on the corresponding affine Lie algebra. Extending the investigations to SU (3) the authors have picked one of its classical subgroups as a candidate of interest. Bauer, M and Itzykson, C.

In this paper, we try characterizing the finite simple group PSL 2 (7) without using the Classification of Finite Simple Groups. Instead, we show by an elementary proof that...