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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | https://arxiv.org/abs/2501.08529 |
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| _version_ | 1866915104362070016 |
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| author | Ding, Zhaochen Verret, Gabriel |
| author_facet | Ding, Zhaochen Verret, Gabriel |
| contents | Two groups $L_1$ and $L_2$ are compatible if there exists a finite group $G$ with isomorphic normal subgroups $N_1$ and $N_2$ such that $L_1\cong G/N_1$ and $L_2\cong G/N_2$. In this paper, we give new necessary conditions for two groups to be compatible. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_08529 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some necessary conditions for compatibility of groups Ding, Zhaochen Verret, Gabriel Group Theory 20B25, 20D10, 20D25, 20D35 Two groups $L_1$ and $L_2$ are compatible if there exists a finite group $G$ with isomorphic normal subgroups $N_1$ and $N_2$ such that $L_1\cong G/N_1$ and $L_2\cong G/N_2$. In this paper, we give new necessary conditions for two groups to be compatible. |
| title | Some necessary conditions for compatibility of groups |
| topic | Group Theory 20B25, 20D10, 20D25, 20D35 |
| url | https://arxiv.org/abs/2501.08529 |