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ON THE $p$-LENGTH AND THE WIELANDT LENGTH OF A FINITE $p$-SOLUBLE GROUP
Published online by Cambridge University Press: 07 March 2013
Abstract
The $p$-length of a finite $p$-soluble group is an important invariant parameter. The well-known Hall–Higman $p$-length theorem states that the $p$-length of a $p$-soluble group is bounded above by the nilpotent class of its Sylow $p$-subgroups. In this paper, we improve this result by giving a better estimation on the $p$-length of a $p$-soluble group in terms of other invariant parameters of its Sylow $p$-subgroups.
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- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 88 , Issue 3 , December 2013 , pp. 453 - 459
- Copyright
- Copyright ©2013 Australian Mathematical Publishing Association Inc.
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