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arXiv · 2109.12397

Finite and nilpotent strongly verbally closed groups

Anton A. Klyachko·Veronika Yu. Miroshnichenko·Alexander Yu. Olshanskii
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Abstract

We show, in particular, that, if a finite group $H$ is a retract of any finite group containing $H$ as a verbally closed subgroup, then the centre of $H$ is a direct factor of $H$.

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Anton A. Klyachko, Veronika Yu. Miroshnichenko, Alexander Yu. Olshanskii. 2021-09-25. Finite and nilpotent strongly verbally closed groups. https://doi.org/10.1142/s0219498823501888

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