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 …

Aug 1, 1988 · We give three definitions of the Coxeter graph. By the second one we see that PSL(2, 7) is contained in the automorphism group of that graph as a subgroup of index 2, and …

May 24, 2017 · To get a lower bound, you could note for example that b b has conjugates (37)(45) (37) (45) and (25)(67) (25) (67) under powers of a a, and then try and show that these two …

The group $G=\operatorname{PSL}_2(7)$ acts on $X=P^1(\mathbb{F}_7)$. Fix $p\in X$, and consider the action of the stabilizer subgroup $G_p=\{g\in G:g\cdot p=p\}$ on the set …

In short, it is a fact that PSL(2 7. , ) ∼= GL (3 , 2 ). Many of us are surprised by this fact: why should a group of 2 × 2 matrices with mod-7 integer entries be isomorphic to a group of 3 3 …

is a fact that PSL(2, 7) = GL(3, 2). Many of us are surprised by this fact: why should a group of 2 x 2 matrices with mod-7 integer entries be isomorphic to a group of 3 x 3 binary matrices? There …

The second smallest non-Abelian simple group is PSL (2,7) (also known as, or isomorphic to, A1 (7), A2 (2), and GL (3,2) ). It has 168 elements. It is a (simple, normal) subgroup of the …

In geometry, the order-7 triangular tiling is a regular tiling of the hyperbolic plane with a Schläfli symbol of {3,7}. The {3,3,7} honeycomb has {3,7} vertex figures. The symmetry group of the …

PSL(2,7) explained. In mathematics, the projective special linear group, isomorphic to, is a finite simple group that has important applications in algebra, geometry, and number theory. It is the …

Dec 19, 2016 · Abstract page for arXiv paper 1612.06161: PSL(2,7) Representations and their relevance to Neutrino Physics The investigation of the role of finite groups in flavor physics …