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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

A.R. Makan
A.R. Makan
Affiliation:
Department of Mathematics, University of Alberta, Edmonton, Canada.
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 6 , Issue 2 , April 1972 , pp. 213 - 226
Copyright
Copyright © Australian Mathematical Society 1972

References

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