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arXiv · 1802.08877

Exponents of Bogomolov multipliers

Primoz Moravec
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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 $\le 5$, or (iv) $G$ is a $4$-Engel group.

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Primoz Moravec. 2018-02-24. Exponents of Bogomolov multipliers. https://arxiv.org/abs/1802.08877

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