Group extension
= Group extension
{wiki=Group_extension}
Group extension is a concept in group theory, a branch of abstract algebra. It refers to the process of creating a new group from a known group by adding new elements that satisfy certain properties related to the original group. More formally, it describes a way to construct a group \\( G \\) that contains a normal subgroup \\( N \\) and a quotient group \\( G/N \\).