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The Fitting length of a finite soluble group and the number of conjugacy classes of its maximal nilpotent subgroups
Published online by Cambridge University Press: 17 April 2009
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.
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- Copyright © Australian Mathematical Society 1972
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