DOSEN PROFIL LENGKAP

linear group SL(2, R) or SL2(R) is the group of 2 × 2 real matrices with determinant one: SL ( 2 , R ) = { ( a b c d ) : a , b , c , d ∈ R  and  a d − b c...

sitting as lattices inside the (topological) universal covering group SL2(R) → PSL2(R). Further, the modular group has a trivial center, and thus the modular...

these groups are also linear, though less obviously. For example, the group PSL2(R) is not a group of 2 × 2 matrices, but it has a faithful representation...

Classification of elements of SL2(R) as elliptic, parabolic, and hyperbolic – and similarly for classification of elements of PSL2(R), the real Möbius transformations...

transformation properties. The generalization involves replacing the modular group PSL2 (R) and a chosen congruence subgroup by a semisimple Lie group G and a discrete...

transformations Real Möbius transformations (elements of PSL2(R) or its 2-fold cover, SL2(R)) are classified as elliptic, parabolic, or hyperbolic accordingly...

arises from SL2(R), which has center {±1} and fundamental group Z. It is a double cover of the centerless projective special linear group PSL2(R), which is...

These are: A4 is isomorphic to PSL2(3) and the symmetry group of chiral tetrahedral symmetry. A5 is isomorphic to PSL2(4), PSL2(5), and the symmetry group...

− 1 χ 5 7 − 1 − 1 1 0 0 χ 6 8 0 0 − 1 1 1 , {\displaystyle {\begin{array}{r|cccccc}&1A_{1}&2A_{21}&4A_{42}&3A_{56}&7A_{24}&7B_{24}\\\hline \chi _{1}&1&1&1&1&1&1\\\chi...

groups: S3 ≅ PSL2(2) ≅ dihedral group of order 6, A4 ≅ PSL2(3), S4 ≅ PGL2(3) ≅ PSL2(Z / 4), A5 ≅ PSL2(4) ≅ PSL2(5), S5 ≅ PΓL2(4) ≅ PGL2(5), A6 ≅ PSL2(9) ≅ Sp4(2)′...

homeomorphism of ⁠ R n ¯ {\displaystyle {\overline {\mathbb {R} ^{n}}}} ⁠, the one-point compactification of ⁠ R n {\displaystyle \mathbb {R} ^{n}} ⁠, which...

the righthand side | G | R {\displaystyle |G|R} and since g ≥ 2 {\displaystyle g\geq 2} we must have R > 0 {\displaystyle R>0} . Rearranging the equation...

line over the field of 11 elements, M12 is generated by the permutations of PSL2(11) together with the permutation (2,10)(3,4)(5,9)(6,7). This permutation...

subgroup. That subgroup is isomorphic to the projective special linear group PSL2(F11) over the field of 11 elements. With −1 written as a and infinity as...

automorphism group of the Klein graph is the group PGL2(7) of order 336, which has PSL2(7) as a normal subgroup. This group acts transitively on its half-edges,...

= 4 PSL4(2), PSL5(2), Sp6(2) The alternating groups on 5, 6, 8, 9 points PSL2(p) for p a Fermat or Mersenne prime, Lε 3(3), Lε 4(3), G2(3) The Mathieu...

3-transitive permutation representation on 12 points with point stabilizer PSL2(11). The permutation representations on 11 and 12 points can both be seen...

doi:10.1006/jabr.2001.9037. MR 1900293. Holmes, Petra E.; Wilson, R.A. (2004). "PSL2(59) is a subgroup of the Monster". Journal of the London Mathematical...

fact that A6 is isomorphic to PSL2(9), whose automorphism group is the projective semilinear group PΓL2(9), in which PSL2(9) is of index 4, yielding an...

{{cite web}}: CS1 maint: url-status (link) Alperin, Roger C. (April 1993). "PSL2(Z) = Z2 * Z3". Amer. Math. Monthly. 100: 385–386. doi:10.1080/00029890.1993...

centralizers of the form Z/2Z × PSL2(q), and by investigating groups with an involution centralizer of the similar form Z/2Z × PSL2(5) Janko found the sporadic...

that a simple group of Morley rank 3 is either a bad group or isomorphic to PSL2(K) for some algebraically closed field K that G interprets. Tuna Altinel...

6 versions of D5d (symmetries like antiprisms). I is also isomorphic to PSL2(5), but Ih is not isomorphic to SL2(5). It is useful to describe explicitly...

Nawaz puts Quetta in PSL final". ESPN Cricinfo. Retrieved 1 March 2018. "PSL2: Quetta Gladiators' foreign players pull out of Lahore final". Express Tribune...

one of this chain not maximal in Co0. Next there is the subgroup (2.A7 × PSL2(7)):2. Next comes (2.A6 × SU3(3)):2. The unitary group SU3(3) (order 6,048)...

simple groups, Mathematical Surveys and Monographs, vol. 40, Providence, R.I.: American Mathematical Society, ISBN 978-0-8218-0334-9, MR 1303592 Gorenstein...

8 (8): 843–8. doi:10.1038/ncb1440. PMID 16829952. S2CID 129089. Fluhrer R, Grammer G, Israel L, et al. (2006). "A gamma-secretase-like intramembrane...

shows that this code is highly symmetric, having the projective linear group PSL2(n) as a subgroup of its symmetries. Gleason is the namesake of the Gleason...

{\displaystyle r\in GL(V)} of finite order that fixes a complex hyperplane pointwise, that is, the fixed-space Fix ⁡ ( r ) := ker ⁡ ( r − Id V ) {\displaystyle...