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\(\mathcal{A}_t\)-groups with \(t + 1\) generators. (English) Zbl 1505.20017

Summary: We show that an \(\mathcal{A}_t\)-group which has exactly \(t + 1\) generators is metahamiltonian, and such \(\mathcal{A}_t\)-groups are classified. This solved a problem proposed by Y. Berkovoch.

MSC:

20D15 Finite nilpotent groups, \(p\)-groups
20F05 Generators, relations, and presentations of groups
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References:

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