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On safety and rivals in power-structures

Published online by Cambridge University Press:  17 April 2009

John Boris Miller
John Boris Miller
Affiliation:
Department of Mathematics, Monash University, Clayton, Vic 3168, Australia
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Abstract

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It is shown that every minimal power-structure other than the singleton power-structure has at least two contenders; that is, any contender has at least one rival. The safe core of a power-structure is empty if and only if the power-structure is minimal.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 37 , Issue 3 , June 1988 , pp. 379 - 382
Copyright
Copyright © Australian Mathematical Society 1988

References

[1]Miller, J.B., ‘Introduction to a theory of coups’, Algebra Universalis 9 (1979), 346–370.CrossRefGoogle Scholar