Large automorphism groups of bordered tori

被引：0
作者：
Bujalance, E. [1 ]
Cirre, F. J. [1 ]
Gamboa, J. M. [2 ]
机构：
[1] UNED, Fac Ciencias, Dept Matemat Fundamentales, Madrid 28040, Spain
[2] Univ Complutense Madrid, Fac Ciencias Matemat, Dept Algebra Geometria & Topol, Madrid 28040, Spain
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2024年 / 228卷 / 12期
关键词：
Compact bordered Klein surfaces; NEC groups; Extendability of group actions; KLEIN SURFACES; GENUS;
D O I：
10.1016/j.jpaa.2024.107757
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 >= 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. (c) 2024 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http:// creativecommons .org /licenses /by -nc -nd /4 .0/).
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