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Fungrim entry: fd53ab

{γτ:τF  and  γPSL2(Z)}=H\left\{ \gamma \circ \tau : \tau \in \mathcal{F} \;\mathbin{\operatorname{and}}\; \gamma \in \operatorname{PSL}_2(\mathbb{Z}) \right\} = \mathbb{H}
\left\{ \gamma \circ \tau : \tau \in \mathcal{F} \;\mathbin{\operatorname{and}}\; \gamma \in \operatorname{PSL}_2(\mathbb{Z}) \right\} = \mathbb{H}
Fungrim symbol Notation Short description
ModularGroupActionγτ\gamma \circ \tau Action of modular group
ModularGroupFundamentalDomainF\mathcal{F} Fundamental domain for action of the modular group
PSL2ZPSL2(Z)\operatorname{PSL}_2(\mathbb{Z}) Modular group (canonical representatives)
HHH\mathbb{H} Upper complex half-plane
Source code for this entry:
    Formula(Equal(Set(ModularGroupAction(gamma, tau), For(Tuple(gamma, tau)), And(Element(tau, ModularGroupFundamentalDomain), Element(gamma, PSL2Z))), HH)))

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2020-04-08 16:14:44.404316 UTC