Finite and nilpotent strongly verbally closed groups

Anton Aleksandrovich Klyachko, Veronika Yu. Miroshnichenko, Alexander Yu. Olshanskii · Journal of Algebra and Its Applications · 2022

We show, in particular, that, if a finite group [Formula: see text] is a retract of any finite group containing [Formula: see text] as a verbally closed subgroup, then the centre of [Formula: see text] is a direct factor of [Formula: see text].

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