Logical stability in group theory
- 1 March 1976
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society
- Vol. 21 (3) , 267-276
- https://doi.org/10.1017/s1446788700018553
Abstract
This paper investigates the logical stability of various groups. Theorem 1: If a group G is stable and locally nilpotent then it is solvable. Theorem 2: Every non-Abelian variety of groups is unstable.Keywords
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