On verbally closed subgroups of free solvable groups

2019/06/26 by В. А. Романьков, Roman'kov, V. A., Е. И. Тимошенко +1
Mathematics · #20E10 #20F16 #20F70 #Advanced Topology and Set Theory #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.1906.11689

openalex publication_date 2019/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study verbally closed subgroups of free solvable groups. A number of results is proved that give sufficient conditions under whose a verbally closed subgroup is turned to be a retract and so algebraically closed of the full group.

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