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Note on the \(p\)-nilpotency in finite groups. (English) Zbl 1082.20010
Author’s summary: Using some properties of nilpotent Hall subgroups, we establish a splitting criterion that is a generalization of the splitting criterion due to Carter.
MSC:
20D40 Products of subgroups of abstract finite groups
20D20 Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure
20D15 Finite nilpotent groups, \(p\)-groups
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