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Finite simple groups with nilpotent third maximal subgroups

Published online by Cambridge University Press:  09 April 2009

T. M. Gagen  and
Z. Janko
T. M. Gagen
Affiliation:
Australian National University, Canberra
Z. Janko
Affiliation:
Monash University, Melbourne
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We say that a subgroup H is an n-th maximal subgroup of G if there exists a chain of subgroups G = G0 > G1 > … > Gn = H such that each Gi is a maximal subgroup of Gi-1, i = 1, 2, …, n. The purpose of this note is to classify all finite simple groups with the property that every third maximal subgroup is nilpotent.

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 6 , Issue 4 , November 1966 , pp. 466 - 469
Copyright
Copyright © Australian Mathematical Society 1966

References

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