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A solvability condition for finite groups with nilpotent maximal subgroups

Published online by Cambridge University Press:  17 April 2009

John Randolph
John Randolph
Affiliation:
West Virginia University, Morgantown, West Virginia, USA.
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Abstract

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Let G be a finite group with a nilpotent maximal subgroup S and let P denote the 2-Sylow subgroup of S. It is shown that if P ∩ Q is a normal subgroup of P for any 2-Sylow subgroup Q of G, then G is solvable.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 3 , Issue 2 , October 1970 , pp. 273 - 276
Copyright
Copyright © Australian Mathematical Society 1970

References

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