List questions from modular-group

Published on 25 Mar 2026 - 16:03

101

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Consistency condition of multiplier system

Published on 25 Mar 2026 - 15:59

28

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Fourier series analogue for Modular Group?

Published on 25 Mar 2026 - 12:46

114

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Proving Diamond & Shurman Exercise 3.7.1, about conjugacy class of $\Gamma_0^{\pm}(N)$.

Published on 25 Mar 2026 - 16:03

109

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Decompose elements in $\Gamma_0(N)$

Published on 25 Mar 2026 - 12:52

52

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What are examples of modular form of level $1$ (i.e. modular form on $SL_2(\mathbb{Z})$) with poles?

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264

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How to obtain normal subgroups of SL(2,Z) from normal subgroups of PSL(2,Z)?

Published on 25 Mar 2026 - 12:50

164

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Irreducible representations of modular group $SL(2,Z)$ with finite image

Published on 25 Mar 2026 - 14:26

62

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Boundary of the fundamental domain of the modular group

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51

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Modular group with a finite order $T$

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122

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Are matrices in $\text{PSL}(2, \mathbb{Z})$ conjugate to their inverses?

Published on 25 Mar 2026 - 14:24

40

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What's the maximum order of $A \in SL_2(\mathbb{Z}/p\mathbb{Z})$ if $tr(A)+2$ and $tr(A)-2$ are both either quadratic residue modp or non quad. res??

Published on 25 Mar 2026 - 12:49

114

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What's the maximum order of an element in $SL_2(\mathbb{Z} /p\mathbb{Z})$ for $p>2$ prime?

Published on 25 Mar 2026 - 16:03

119

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Asymptotics of $j$-invariant at elliptic fixed points of $\text{PSL}(2,\mathbb Z)$

Published on 25 Mar 2026 - 6:04

List Question

Family of generators for congruence subgroup $\Gamma_0(11)$

Consistency condition of multiplier system

Fourier series analogue for Modular Group?

Proving Diamond & Shurman Exercise 3.7.1, about conjugacy class of $\Gamma_0^{\pm}(N)$.

Decompose elements in $\Gamma_0(N)$

What are examples of modular form of level $1$ (i.e. modular form on $SL_2(\mathbb{Z})$) with poles?

How to obtain normal subgroups of SL(2,Z) from normal subgroups of PSL(2,Z)?

Irreducible representations of modular group $SL(2,Z)$ with finite image

Boundary of the fundamental domain of the modular group

Modular group with a finite order $T$

Are matrices in $\text{PSL}(2, \mathbb{Z})$ conjugate to their inverses?

What's the maximum order of $A \in SL_2(\mathbb{Z}/p\mathbb{Z})$ if $tr(A)+2$ and $tr(A)-2$ are both either quadratic residue modp or non quad. res??

What's the maximum order of an element in $SL_2(\mathbb{Z} /p\mathbb{Z})$ for $p>2$ prime?

Asymptotics of $j$-invariant at elliptic fixed points of $\text{PSL}(2,\mathbb Z)$

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