J Austral Math Soc Ser A 43 pp220--223, 1987.
Enumerating Subgroups
R. J. Cook, James Wiegold and A. G. Williamson
(Received 6 November 1985)
Abstract
It is proved that a finite soluble group of order n has at most (n - 1)/(q - 1) maximal subgroups, where q is the smallest prime divisor of n.
1980 AMS Subject Classification: primary 20D10; secondary 20D99
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Authors
- R. J. Cook
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Department of Pure Mathematics, The University, Sheffield, England.
- James Wiegold
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Department of Pure Mathematics, University College, Cardiff, Wales.
- A. G. Williamson
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Haywards Heath College, Haywards Heath, West Sussex, England.
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