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Stability of nilpotent groups of class 2 and prime exponent

Published online by Cambridge University Press:  12 March 2014

Alan H. Mekler
Alan H. Mekler*
Affiliation:
University of Toronto, Toronto, Canada
*
Simon Fraser University, Burnaby, British Columbia, Canada
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Abstract

Let p be an odd prime. A method is described which given a structure M of finite similarity type produces a nilpotent group of class 2 and exponent p which is in the same stability class as M.

Theorem. There are nilpotent groups of class 2 and exponent p in all stability classes.

Theorem. The problem of characterizing a stability class is equivalent to characterizing the (nilpotent, class 2, exponent p) groups in that class.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 46 , Issue 4 , December 1981 , pp. 781 - 788
Copyright
Copyright © Association for Symbolic Logic 1981

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References

REFERENCES

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