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 …

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 …

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 …

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 $\alpha$, …

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 …

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 …

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 …

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 …

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...