Finite and nilpotent strongly verbally closed groups

Klyachko Anton A.; Miroshnichenko Veronika Yu.; Olshanskii Alexander Yu.

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Finite and nilpotent strongly verbally closed groups

机译：Finite and nilpotent strongly verbally closed groups

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摘要

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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来源
《Journal of algebra and its applications》 |2023年第9期|共19页
作者
Klyachko Anton A.; Miroshnichenko Veronika Yu.; Olshanskii Alexander Yu.;
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作者单位

Faculty of Mechanics and Mathematics of Moscow State University, Moscow 119991, Leninskie Gory, MSU,Russia;

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原文格式 PDF
正文语种英语
中图分类代数、数论、组合理论;
关键词
Verbally closed subgroups; retracts of groups; equations in groups;

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Finite and nilpotent strongly verbally closed groups

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