Exponents of Bogomolov multipliers

2018/02/24 by Primož Moravec, Moravec, Primoz
Computer Science · Mathematics · #Advanced Algebra and Geometry #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.1802.08877

openalex publication_date 2018/02/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that if G is a finite group, then the exponent of its Bogomolov multiplier divides the exponent of G in the following four cases: (i) G is metabelian, (ii) exp G=4, (iii) G is nilpotent of class ≤ 5, or (iv) G is a 4-Engel group.

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