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Existentially closed central extensions of locally finite p-groups

Published online by Cambridge University Press:  24 October 2008

Felix Leinen  and
Richard E. Phillips
Felix Leinen
Affiliation:
Johannes-Gutenberg-Universität, 6500 Mainz, West Germany
Richard E. Phillips
Affiliation:
Michigan State University, East Lansing, MI 48824, U.S.A.
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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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References

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