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The Definability of the Commutator Subgroup in a Variety Generated by a Finite Group

Published online by Cambridge University Press:  20 November 2018

John Lawrence
John Lawrence*
Affiliation:
University of WaterlooWaterloo, Ontario N2L 3G1
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Abstract

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In a variety generated by a finite non-Abelian group, the commutator subgroup is not definable by a first-order formula.

Keywords

20A1520E1003B10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 28 , Issue 4 , 01 December 1985 , pp. 505 - 507
Copyright
Copyright © Canadian Mathematical Society 1985

References

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2. Rogers, P., Smith, H., and Solitar, D., Tarski's problem for solvable groups, (preprint).Google Scholar
3. Scott, W.R., Group Theory, Prentice Hall (1960).Google Scholar