Abnormal subgroup
= Abnormal subgroup
{wiki=Abnormal_subgroup}
In group theory, an **abnormal subgroup** is a specific type of subgroup that captures certain properties related to the structure of the group. A subgroup \\( H \\) of a group \\( G \\) is called **abnormal** if it satisfies the following condition: For every \\( g \\in G \\), if \\( gH \\) (the left coset of \\( H \\) in \\( G \\)) intersects with \\( H \\) non-trivially (i.e.