Commutators and pronilpotent subgroups in profinite groups

2013/05/23 by Eloisa Detomi, Detomi, Eloisa, Marta Morigi +3
Computer Science · Mathematics · #20E18 #20F12 #20F14 #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.1305.5351

openalex publication_date 2013/05/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G be a profinite group in which all pronilpotent subgroups generated by commutators are periodic. We prove that G' is locally finite.

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