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arxiv: 1804.05530 · v1 · pith:44XNO2TVnew · submitted 2018-04-16 · 🧮 math.AT · math.GR

A p-nilpotency criterion for finite groups

classification 🧮 math.AT math.GR
keywords criterionnilpotencyfinitegroupselementextendsordersprove
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We prove a $p$-nilpotency criterion for finite groups in terms of the element orders of its $p'$-reduced sections that extends a nilpotency criterion by T{\u{a}}rn{\u{a}}uceanu.

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