Source: wikibot/conjugate-permutable-subgroup
= Conjugate-permutable subgroup
{wiki=Conjugate-permutable_subgroup}
In group theory, a **conjugate-permutable subgroup** is a specific type of subgroup that has a particular property related to conjugation. A subgroup \\( H \\) of a group \\( G \\) is said to be conjugate-permutable if for every element \\( g \\in G \\), the following condition holds: \\\[ H^g = gHg^\{-1\} \\text\{ satisfies \} H^g \\cap H \\neq \\emptyset.