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Finite groups with a nilpotent maximal subgroup

Published online by Cambridge University Press:  09 April 2009

Zvonimir Janko
Zvonimir Janko
Affiliation:
Department of Mathematics, Australian National University, Canberra.
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Let G be a finite group all of whose proper subgroups are nilpotent. Then by a theorem of Schmidt-Iwasawa the group G is soluble. But what can we say about a finite group G is only one maximal subgroup is nilpotent? Let G be a finite group with a nilpotent maximal subgroup M.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 4 , Issue 4 , November 1964 , pp. 449 - 451
Copyright
Copyright © Australian Mathematical Society 1964

References

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