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A splitting theorem forabelian-by-FC-hypercentral groups

Published online by Cambridge University Press:  07 August 2001

M. J. Tomkinson
M. J. Tomkinson
Affiliation:
Department of Mathematics, University of Glasgow, Glasgow G12 8QW, UK
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Abstract

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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.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 42 , Issue 1 , March 2000 , pp. 55 - 65
Copyright
2000 Glasgow Mathematical Journal Trust