Finite and nilpotent strongly verbally closed groups
| Autor: | Klyachko, Anton A., Miroshnichenko, Veronika Yu., Olshanskii, Alexander Yu. |
|---|---|
| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Journal of Algebra and Its Applications, 22:09 (2023), 2350188 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1142/S0219498823501888 |
| Popis: | 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 $H$. Comment: 13 pages. A Russian version of this paper is at http://halgebra.math.msu.su/staff/klyachko/papers.htm . V2: Results concerning strong retracts are improved slightly. V3: minor errors in the last section are corrected. V4: misprints are corrected |
| Databáze: | arXiv |
| Externí odkaz: |
|