subgroup

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Related to Proper subgroup: Simple group
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4) Suppose that G is a group which is not nilpotent but whose proper subgroups are all nilpotent.
2) Suppose G is a group which is not p-nilpotent but whose proper subgroups are all p-nilpotent.
13]) Suppose that G is a group which is not p--nilpotent but whose proper subgroups are all p--nilpotent.

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