five

Genus One Almost Simple Groups of Lie Rank Two

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DataCite Commons2025-05-28 更新2025-04-16 收录
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http://siba-ese.unisalento.it/index.php/notemat/article/view/27803/22804
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资源简介:
In this paper, we assume that $G$ is a finite group with socle $PSL(3,q)$ and $G$ acts on the projective points of 2-dimensional projective geometry $PG(2,q)$, $q$ is a prime power. By using a new method, we show that $G$ possesses no genus one group if $q>13$. Furthermore, we study the connectedness of the Hurwitz space $\mathcal{H}^{in}_{r}(G)$ for a given group $G$, genus one and $q\leq 13$.
提供机构:
University of Salento
创建时间:
2024-01-11
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