Congruence subgroup

In mathematics Kongruenzuntergruppen are a class of discrete arithmetically defined subgroups of the general linear group.

Definition

Be

A via defined algebraic group, and is a natural number. Then

A congruence subgroup. ( Herein, the limitation of the " modulo N reduction .")

Arithmetic groups

Kongruenzuntergruppen are arithmetic ( by construction ) groups. For each arithmetic group contains a congruence subgroup.

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