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A note on locally finite varieties

Published online by Cambridge University Press:  17 April 2009

John S. Wilson
John S. Wilson
Affiliation:
Christ's College, Cambridge, England; Department of Mathematics, Institute of Advanced Studies, Australian National University, Canberra, ACT.
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Evidence is presented which suggests that the following assertions about a variety ⊻ of groups may be equivalent:

(a) ⊻ is locally finite,

(b) all ⊻-groups satisfying the maximal condition for normal subgroups are finite, and

(c) all ⊻-groups satisfying the minimal condition for normal subgroups are finite.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 14 , Issue 1 , February 1976 , pp. 63 - 70
Copyright
Copyright © Australian Mathematical Society 1976

References

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