Complemented group

In mathematics, in the realm of group theory, the term complemented group is used in two distinct, but similar ways. In , a complemented group is one in which every subgroup has a group-theoretic complement. Such groups are called completely factorizable groups in the Russian literature, following and . The following are equivalent for any finite group G:

Complemented group

In mathematics, in the realm of group theory, the term complemented group is used in two distinct, but similar ways. In , a complemented group is one in which every subgroup has a group-theoretic complement. Such groups are called completely factorizable groups in the Russian literature, following and . The following are equivalent for any finite group G: