Existentially closed central extensions of locally finite p-groups
Published online by Cambridge University Press: 24 October 2008
Extract
Throughout, p will be a fixed prime, and will denote the class of all locally finite p-groups. For a fixed Abelian p-group A, we let
where ζ(P) denotes the centre of P. Notice that A is not a class in the usual group-theoretic sense, since it is not closed under isomorphisms.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 100 , Issue 2 , September 1986 , pp. 281 - 301
- Copyright
- Copyright © Cambridge Philosophical Society 1986
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