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Fungrim entry: 76de9d

Symbol: ModularGroupAction — γ∘τ\gamma \circ \tau — Action of modular group
Domain Codomain
γ∈SL⁡2(Z)  and⁡  τ∈H\gamma \in \operatorname{SL}_2(\mathbb{Z}) \;\mathbin{\operatorname{and}}\; \tau \in \mathbb{H} γ∘τ∈H\gamma \circ \tau \in \mathbb{H}
Table data: (P,Q)\left(P, Q\right) such that (P)    ⟹    (Q)\left(P\right) \;\implies\; \left(Q\right)
Definitions:
Fungrim symbol Notation Short description
ModularGroupActionγ∘τ\gamma \circ \tau Action of modular group
SL2ZSL⁡2(Z)\operatorname{SL}_2(\mathbb{Z}) Modular group
HHH\mathbb{H} Upper complex half-plane
Source code for this entry:
Entry(ID("76de9d"),
    SymbolDefinition(ModularGroupAction, ModularGroupAction(gamma, tau), "Action of modular group"),
    Table(TableRelation(Tuple(P, Q), Implies(P, Q)), TableHeadings(Description("Domain"), Description("Codomain")), List(Tuple(And(Element(gamma, SL2Z), Element(tau, HH)), Element(ModularGroupAction(gamma, tau), HH)))))

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2021-03-15 19:12:00.328586 UTC