Groups having minimal covering number 2 of diagonal type
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929252843126784 |
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| author | Fusari, Marco Previtali, Andrea Spiga, Pablo |
| author_facet | Fusari, Marco Previtali, Andrea Spiga, Pablo |
| contents | Garonzi and Lucchini~\cite{GL} explored finite groups $G$ possessing a normal $2$-covering, where no proper quotient of $G$ exhibits such a covering. Their investigation offered a comprehensive overview of these groups, delineating that such groups fall into distinct categories: almost simple, affine, product action, or diagonal.
In this paper, we focus on the family falling under the diagonal type. Specifically, we present a thorough classification of finite diagonal groups possessing a normal $2$-covering, with the attribute that no proper quotient of $G$ has such a covering. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_14529 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Groups having minimal covering number 2 of diagonal type Fusari, Marco Previtali, Andrea Spiga, Pablo Group Theory Combinatorics Garonzi and Lucchini~\cite{GL} explored finite groups $G$ possessing a normal $2$-covering, where no proper quotient of $G$ exhibits such a covering. Their investigation offered a comprehensive overview of these groups, delineating that such groups fall into distinct categories: almost simple, affine, product action, or diagonal. In this paper, we focus on the family falling under the diagonal type. Specifically, we present a thorough classification of finite diagonal groups possessing a normal $2$-covering, with the attribute that no proper quotient of $G$ has such a covering. |
| title | Groups having minimal covering number 2 of diagonal type |
| topic | Group Theory Combinatorics |
| url | https://arxiv.org/abs/2402.14529 |