I've heard of this (open?) problem:
Classify groups G such that Aut(G) is abelian.
What I discovered:
- Any characteristic abelian subgroup is cyclic.
- Center is cyclic.
- Commutators are cyclic.
What do true mathematicians know?
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Ivan Di Liberti
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I assume by Zentrum you mean the center? – Pedro May 24 '15 at 17:16
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4related: http://mathoverflow.net/questions/9944/when-is-autg-abelian – user72870 May 24 '15 at 17:30