Finite symmetric groups are strongly verbally closed
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866914087093403648 |
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| author | Karimova, Olga K. Klyachko, Anton A. |
| author_facet | Karimova, Olga K. Klyachko, Anton A. |
| contents | Answering a question of A. V. Vasil'ev, we show that each finite symmetric (or alternating) group $H$ is a retract of any group containing $H$ as a verbally closed subgroup. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_01179 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Finite symmetric groups are strongly verbally closed Karimova, Olga K. Klyachko, Anton A. Group Theory Answering a question of A. V. Vasil'ev, we show that each finite symmetric (or alternating) group $H$ is a retract of any group containing $H$ as a verbally closed subgroup. |
| title | Finite symmetric groups are strongly verbally closed |
| topic | Group Theory |
| url | https://arxiv.org/abs/2405.01179 |