Definition:Hall Subgroup

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Let $G$ be a group.

Let $H$ be a subgroup of $G$.

Then $H$ is a Hall subgroup of $G$ if and only if the index and order of $H$ in $G$ are coprime:

$\index G H \perp \order H$

Also see

  • Results about Hall subgroups can be found here.

Source of Name

This entry was named for Philip Hall.