Projective Special Linear Group of 2x2 matrices over the integers

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:group_of_people
gptkbp:actsOn	upper half-plane
gptkbp:alsoKnownAs	gptkb:PSL(2,_Z)
gptkbp:centerOfSL(2,_Z)	{±I}
gptkbp:definedIn	SL(2, Z) modulo its center
gptkbp:generation	images of S and T
gptkbp:hasSubgroup	gptkb:PSL(2,_R)
https://www.w3.org/2000/01/rdf-schema#label	Projective Special Linear Group of 2x2 matrices over the integers
gptkbp:isFinitelyGenerated	true
gptkbp:isomorphicTo	free product of C2 and C3
gptkbp:isQuotientOf	gptkb:SL(2,_Z)
gptkbp:order	infinite
gptkbp:originatedIn	gptkb:hyperbolic_geometry gptkb:modular_curves gptkb:Teichmüller_theory gptkb:Riemann_surfaces gptkb:Fuchsian_groups gptkb:triangle_groups gptkb:monodromy_groups gptkb:Farey_tessellation modular forms number theory automorphic forms continued fractions Galois representations modular group action modular group congruence subgroups modular symbols modular group fundamental domain
gptkbp:presentedBy	<S, T \| S^2 = (ST)^3 = 1>
gptkbp:relatedTo	modular group
gptkbp:bfsParent	gptkb:PSL(2,Z) gptkb:PSL(2,_Z)
gptkbp:bfsLayer	7