Affiliation:
1. Faculty of Mathematics and Mechanics of Moscow State University , Leninskie gory , Moscow 119991 , Russia ; and Moscow Center for Fundamental and Applied Mathematics
Abstract
Abstract
In a recent paper by A. A. Klyachko, V. Y. Miroshnichenko, and A. Y. Olshanskii, it is proven that the center of any finite strongly verbally closed group is a direct factor.
In this paper, we extend this result to the case of finite normal subgroups of any strongly verbally closed group.
It follows that finitely generated nilpotent groups with nonabelian torsion subgroups are not strongly verbally closed.
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