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Virtually free finite-normal-subgroup-free groups are strongly verbally closed

Virtually free finite-normal-subgroup-free groups are strongly verbally closed

来源:Arxiv_logoArxiv
英文摘要

Any virtually free group $H$ containing no non-trivial finite normal subgroup (e.g., the infinite dihedral group) is a retract of any finitely generated group containing $H$ as a verbally closed subgroup.

Veronika Yu. Miroshnichenko、Andrey M. Mazhuga、Anton A. Klyachko

10.1016/j.jalgebra.2018.05.028

数学

Veronika Yu. Miroshnichenko,Andrey M. Mazhuga,Anton A. Klyachko.Virtually free finite-normal-subgroup-free groups are strongly verbally closed[EB/OL].(2017-12-09)[2025-08-02].https://arxiv.org/abs/1712.03406.点此复制

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