Infinite simple groups with no proper abnormal subgroups
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913903183659008 |
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| author | Corson, Samuel M. |
| author_facet | Corson, Samuel M. |
| contents | Utilizing an embedding theorem of Obraztsov we construct groups as described in the title. This provides an affirmative answer to a problem of D. O. Revin. The constructed groups also provide a negative answer to a question highlighted by Kurdachenko, Russo, and Vincenzi. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_07330 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Infinite simple groups with no proper abnormal subgroups Corson, Samuel M. Group Theory 20E15, 20E32 Utilizing an embedding theorem of Obraztsov we construct groups as described in the title. This provides an affirmative answer to a problem of D. O. Revin. The constructed groups also provide a negative answer to a question highlighted by Kurdachenko, Russo, and Vincenzi. |
| title | Infinite simple groups with no proper abnormal subgroups |
| topic | Group Theory 20E15, 20E32 |
| url | https://arxiv.org/abs/2505.07330 |