Abstract
It is shown that there exists a logarithmic upper bound on the Fitting length h(G) of a finite soluble group G in terms of the number ν(G) of the conjugacy classes of its maximal nilpotent subgroups. For ν(G) = 3, the best possible bound on h(G) is shown to be 4.
Publisher
Cambridge University Press (CUP)
Cited by
2 articles.
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1. On saturated formations whose projectors are complemented;Bulletin of the Australian Mathematical Society;1973-10
2. On some aspects of finite soluble groups;Bulletin of the Australian Mathematical Society;1972-02