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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