Abstract
We extend
splitting theorems due to Zaicev and Duan proving the following result. Let
G be a locally soluble FC-hypercentral group and let
A be a periodic artinian ℤG-module. If
A has no finite ℤG-submodules then any
extension E of A by G
splits conjugately over A.1991 Mathematics Subject Classification 20F19.
Publisher
Cambridge University Press (CUP)
Cited by
2 articles.
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