The Nilpotency Criterion for the Derived Subgroup of a Finite Group

2017/04/06 by В. С. Монахов, Monakhov, Victor S.
Computer Science · Engineering · Mathematics · #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1704.01746

openalex publication_date 2017/04/06 · openalex created_date 2017/05/26 · openalex updated_date 2026/07/28

Abstract

It is proved that the derived subgroup of a finite group is nilpotent if and only if |ab|≥ |a||b| for all primary commutators a and b of coprime orders.

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