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Finite potent groups
Published online by Cambridge University Press: 17 April 2009
Abstract
A group is potent if for any element of the group and any prescribed positive integer (dividing its order if this order is finite) there corresponds a finite homomorphic image of the group in which the element has the prescribed integer as its order. The finite potent groups form a finite variety that contains all finite nilpotent groups, all finite metabelian groups, and precisely one simple group, A5.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 23 , Issue 1 , February 1981 , pp. 111 - 120
- Copyright
- Copyright © Australian Mathematical Society 1981
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