Capable group

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

* [http://www.ams.org/proc/2005-133-12/S0002-9939-05-07663-X/S0002-9939-05-07663-X.pdf Bounds on the index of the center in capable groups]


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