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arxiv: 1207.1020 · v2 · pith:7OLAG764new · submitted 2012-07-04 · 🧮 math.GR

An inequality detecting nilpotency of finite groups

classification 🧮 math.GR
keywords finitegroupholdsinequalityonlydetectingelementsequality
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In this short note, we provide an inequality that holds in any finite group, only involving the orders of the elements; we prove that equality holds if and only if the group is nilpotent.

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