Capable group

In mathematics, in the realm of group theory, a group is said to be capable if it occurs as the inner automorphism group of some group.

These groups were first studied by Reinhold Baer, who showed that a finite abelian group is capable if and only if it is a product of cyclic groups of orders n1, ..., nk where ni divides ni +1 and nk −1 = nk.

This group theory-related article is a stub.

You can help Wikipedia by expanding it.