Outer automorphisms of endomorphism rings of Warfield groups. (English) Zbl 0823.20059
The notion of a connected Warfield group is introduced. It is shown that the endomorphism ring of a reduced, \(p\)-local Warfield group admits an outer automorphism if and only if the group is not connected.
Reviewer: S.T.Files (Essen)
MSC:
| 20K30 | Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups |
| 16S50 | Endomorphism rings; matrix rings |
| 16W20 | Automorphisms and endomorphisms |
| 20K21 | Mixed groups |
| 20K15 | Torsion-free groups, finite rank |
Keywords:
connected Warfield groups; endomorphism rings; reduced \(p\)-local Warfield groups; outer automorphismsReferences:
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