Category:Congruence Modulo Subgroup
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This category contains results about Congruence Modulo Subgroup.
Definitions specific to this category can be found in Definitions/Congruence Modulo Subgroup.
Let $G$ be a group.
Let $H$ be a subgroup of $G$.
We can use $H$ to define relations on $G$ as follows:
Left Congruence Modulo Subgroup
- $\RR^l_H := \set {\tuple {x, y} \in G \times G: x^{-1} y \in H}$
This is called left congruence modulo $H$.
Right Congruence Modulo Subgroup
- $\RR^r_H = \set {\tuple {x, y} \in G \times G: x y^{-1} \in H}$
This is called right congruence modulo $H$.
Pages in category "Congruence Modulo Subgroup"
The following 8 pages are in this category, out of 8 total.