Category:Transversals (Group Theory)
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This category contains results about Transversals in the context of Group Theory.
Definitions specific to this category can be found in Definitions/Transversals (Group Theory).
Let $G$ be a group.
Let $H$ be a subgroup of $G$.
Let $S \subseteq G$ be a subset of $G$.
Left Transversal
$S$ is a left transversal for $H$ in $G$ if and only if every left coset of $H$ contains exactly one element of $S$.
Right Transversal
$S$ is a right transversal for $H$ in $G$ if and only if every right coset of $H$ contains exactly one element of $S$.
Transversal
A transversal for $H$ in $G$ is either a left transversal or a right transversal.
Pages in category "Transversals (Group Theory)"
The following 2 pages are in this category, out of 2 total.