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 answered the question: which abelian groups are capable?

References

• Reinhold Baer, "Groups with preassigned central and central quotient group", Transactions of the American Mathematical Society, 44, 387–412, (1938)

External links

• Bounds on the index of the center in capable groups