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Fungrim entry: 5636db

(γη)τ=γ(ητ)\left(\gamma \eta\right) \circ \tau = \gamma \circ \left(\eta \circ \tau\right)
Assumptions:γSL2(Z)andηSL2(Z)andτH\gamma \in \operatorname{SL}_2(\mathbb{Z}) \,\mathbin{\operatorname{and}}\, \eta \in \operatorname{SL}_2(\mathbb{Z}) \,\mathbin{\operatorname{and}}\, \tau \in \mathbb{H}
TeX:
\left(\gamma \eta\right) \circ \tau = \gamma \circ \left(\eta \circ \tau\right)

\gamma \in \operatorname{SL}_2(\mathbb{Z}) \,\mathbin{\operatorname{and}}\, \eta \in \operatorname{SL}_2(\mathbb{Z}) \,\mathbin{\operatorname{and}}\, \tau \in \mathbb{H}
Definitions:
Fungrim symbol Notation Short description
ModularGroupActionγτ\gamma \circ \tau Action of modular group
SL2ZSL2(Z)\operatorname{SL}_2(\mathbb{Z}) Modular group
HHH\mathbb{H} Upper complex half-plane
Source code for this entry:
Entry(ID("5636db"),
    Formula(Equal(ModularGroupAction(Parentheses(Mul(gamma, eta)), tau), ModularGroupAction(gamma, Parentheses(ModularGroupAction(eta, tau))))),
    Variables(gamma, eta, tau),
    Assumptions(And(Element(gamma, SL2Z), Element(eta, SL2Z), Element(tau, HH))))

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2019-08-17 11:32:46.829430 UTC