{\text{For }}\gamma ={\begin{pmatrix}a&b\\c&d\end{pmatrix}}\in {\text{PSL}}(2,7){\text{ and }}x\in \mathbf {P} ^{1}\!(7),\ \gamma \cdot x={\frac {ax+b}{cx+d}}...

that no 3-dimensional figure has (rotational) symmetries equal to PSL(2,7), since PSL(2,7) does not embed as a subgroup of SO(3) (or O(3)) – it does not...

plane so as to tessellate the plane. In 1879, he examined the action of PSL(2,7), considered as an image of the modular group, and obtained an explicit...

the projective special linear group PSL(2,7) x S3 of a trio subgroup of M24 is useful for generating a basis. PSL(2,7) permutes the octads internally, in...

characteristic −4, as a quotient of the hyperbolic plane by the symmetry group PSL(2,7) of the Fano plane. The hyperbolic area of a fundamental domain is 8π,...

projective special linear group PSL(2,7) of order 168, and every simple group of order 168 is isomorphic to PSL(2,7). The infinite alternating group...

special linear group PSL(2,7), of order 168, and the corresponding curve is the Klein quartic curve. This group is also isomorphic to PSL(3,2). Next is the...

which commutes with a simple subgroup of order 168. A direct product PSL(2,7) × S3 in M24 permutes the octads of a trio and permutes 14 dodecad diagonal...

smallest nonabelian simple group P S L ( 2 , 7 ) . {\displaystyle \mathrm {PSL} (2,7).} From Hurwitz's automorphisms theorem, 168 is the maximum possible number...

of Q with particular Galois groups. One curve, C168, gives Galois group PSL(2,7) from a polynomial of degree seven, and the other, C1344, gives Galois...

in turn a subgroup of the group of isotopies described below. See also: PSL(2,7) – the automorphism group of the Fano plane. An isotopy of an algebra is...

PSL(2,7) (order 168) and PSL(2,11) (order 660), which also admit geometric interpretations – PSL(2,5) is the symmetries of the icosahedron (genus 0), PSL(2...

(the symmetries of a tessellation of the genus three surface), which is PSL(2,7), which can be augmented by an additional permutation. This permutation...

) {\displaystyle PSL(2,11)} , following earlier constructions of a 7-fold cover with monodromy P S L ( 2 , 7 ) {\displaystyle PSL(2,7)} connected to the...

full collineation group is of order 168 and is isomorphic to the group PSL(2,7) ≈ PSL(3,2), which in this special case is also isomorphic to the general linear...

objects; The Eightfold Way is based on the projective special linear group PSL(2,7), a finite group of 168 elements. The sculptor Bathsheba Grossman similarly...

A_{5}} have connections with the projective special linear groups PSL(2,5), PSL(2,7), and PSL(2,11) (orders 60, 168, and 660), which is deemed a "McKay correspondence"...

vertices, with symmetry group the simple group of order 168, known as PSL(2,7). The resulting surface can in turn be polyhedrally immersed into Euclidean...

group of this surface is isomorphic to the projective special linear group PSL(2,7), equivalently GL(3,2) (the order 168 group of all orientation-preserving...

≅ PSL3(2), the second-smallest non-abelian simple group (order 168) – PSL(2,7); PSL2(9) ≅ A6; PSL4(2) ≅ A8; PSU4(2) ≅ PSp4(3), between a projective special...

the second smallest non-abelian simple group, which is isomorphic to PSL(2,7), and the associated Hurwitz surface (of genus 3) is the Klein quartic...

of genus 3, with automorphism group the projective special linear group PSL(2,7), of order 84(3 − 1) = 168 = 23·3·7, which is a simple group; (or order...

centralizer of 3 involutions each moving 100 points A5 × D10 order 600 PGL(2,7) order 336 52:D12 order 300 A5 order 60 The maximum order of any element...

2,4 6 / 200 1979 2,8 8 / 200 2 1983 2,8 8 / 200 1987 2,7 9 / 200 1 1991 3,0 10 / 200 1 1995 2,7 7 / 200 3 1999 2,3 6 / 200 1 2003 2,2 4 / 200 2 2007 1...

(PSOL) with 3,7% Coronel Cláudia (PL) with 8,2% and Mateus Simões (NOVO) with 2,7% Carlos Melles (PL) with 2%, Paulo Piau (MDB) with 2%, Pastor Altamiro Alves...

(PSDB) with 0,1% Eduardo Leite (PSDB) with 17% Comandante Nádia (PP) with 2,7% Eduardo Leite (PSDB) with 14,9% and Comandante Nádia (PP) with 2,5% Comandante...

Datena (PSL) with 19,1% and Vinicius Poit (NOVO) with 0,7% José Luiz Datena (PSL) with 20,2% and Vinicius Poit (NOVO) with 0,7% José Luiz Datena (PSL) with...

(MDB) with 3% and Marcelo Itagiba (AVANTE) with 2% Otoni de Paula (MDB) with 2,7% Cabo Daciolo (PDT) with 10% Possible electoral scenario where the presidential...

3% – 1% – 26% 64% 66% 2% 2% 6% – – 24% 60% Paraná Pesquisas 1–6 May 2022 1.540 66,8% 2,7% 3% – 0,5% – 27% 63,8% 66,2% 2,5% 2,7% 2,8% – – 25,9% 63,4%...