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A characterization of finite p-soluble groups of p-length one by commutator identities
Published online by Cambridge University Press: 09 April 2009
Abstract
A classical result of M. Zorn states that a finite group is nilpotent if and only if it satisfies an Engel condition. If this is the case, it satisfies almost all Engel conditions. We shall give a similar description of the class of p-soluble groups of p-length one by a sequence of commutator identities.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 30 , Issue 3 , February 1981 , pp. 257 - 263
- Copyright
- Copyright © Australian Mathematical Society 1981
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