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A splitting theorem forabelian-by-FC-hypercentral groups
Published online by Cambridge University Press: 07 August 2001
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.
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- Research Article
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- 2000 Glasgow Mathematical Journal Trust
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