有边环的大自形群

Pub Date : 2024-06-27 DOI:10.1016/j.jpaa.2024.107757

E. Bujalance , F.J. Cirre , J.M. Gamboa

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引用次数: 0

摘要

我们研究拓扑属一的紧凑可定向有边克莱因曲面的大自形群。这里，表示该群的阶大于或等于，这里是曲面的代数属。我们找到了所有这样的群，并通过它们的生成器和关系提供了表述。我们还将确定这些群中哪些群是某些有边环面的全自形群。

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Large automorphism groups of bordered tori

We study large groups of automorphisms of compact orientable bordered Klein surfaces of topological genus one. Here, large means that the order of the group is greater than or equal to $4 (g - 1)$ , where $g \geq 2$ is the algebraic genus of the surface. We find all such groups, providing presentations by means of generators and relations of them. We also determine which of these groups act as the full automorphism group of some bordered torus.

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