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Logical stability in group theory

Published online by Cambridge University Press:  09 April 2009

J. T. Baldwin
Affiliation:
Department of Mathematics, University of Illionis, at Chicago Circle Box 4348 Chicago, Illinois 60680, U.S.A.
Jan Saxl
Affiliation:
Department of Mathematics, University of Illionis, at Chicago Circle Box 4348 Chicago, Illinois 60680, U.S.A.
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Abstract

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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.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1976

References

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