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A classs of finite \(p\)-groups with few normal subgroups. (Chinese. English summary) Zbl 1463.20022

Summary: The \({N_1}\)-\(p\)-groups are completely classified. The so-called \({N_1}\)-group is a group \(G\) that has only one normal subgroup which neither contains \(G'\) nor is contained in \(Z(G)\).

MSC:

20D15 Finite nilpotent groups, \(p\)-groups
20E07 Subgroup theorems; subgroup growth
Full Text: DOI