The full group of automorphisms of non-orientable unbordered Klein surfaces of topological genus 8

被引:1
作者
Bacelo, Adrian [1 ]
机构
[1] Univ Complutense Madrid, Dept Algebra Geometria & Topol, Madrid 28040, Spain
关键词
Finite groups; Klein surfaces; symmetric crosscap number; SYMMETRIC CROSSCAP NUMBER;
D O I
10.1080/00927872.2024.2356253
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
It is very difficult to determine the full automorphism group of compact Riemann and Klein surfaces. The automorphism groups of hyperelliptic surfaces, and those of (compact, non-orientable, unbordered) Klein surfaces whose genus is less or equal to 7 are known, but a lot of hard work is left to do. To amplify the knowledge in this field, in this paper the full automorphism groups of the surfaces of genus 8 are calculated.
引用
收藏
页码:4698 / 4715
页数:18
相关论文
共 24 条
[1]  
Alling N. L., 1971, LECT NOTES MATH, V219
[2]   Groups of symmetric crosscap number less than or equal to 17 [J].
Bacelo, Adrian .
ARS MATHEMATICA CONTEMPORANEA, 2018, 15 (01) :173-190
[3]   The full group of automorphisms of non-orientable unbordered Klein surfaces of topological genus 6 [J].
Bacelo, Adrian .
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2018, 112 (02) :391-405
[4]   The full group of automorphisms of non-orientable unbordered Klein surfaces of topological genus 7 [J].
Bacelo, Adrian .
REVISTA MATEMATICA COMPLUTENSE, 2018, 31 (01) :247-261
[5]  
BUJALANCE E, 1989, LECT NOTES MATH, V1398, P43
[7]   The full group of automorphisms of non-orientable unbordered Klein surfaces of topological genus 3, 4 and 5 [J].
Bujalance, E. ;
Etayo, J. J. ;
Martinez, E. .
REVISTA MATEMATICA COMPLUTENSE, 2014, 27 (01) :305-326
[8]   EXTENSIONS OF FINITE CYCLIC GROUP ACTIONS ON NON-ORIENTABLE SURFACES [J].
Bujalance, E. ;
Cirre, F. J. ;
Conder, M. D. E. .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 365 (08) :4209-4227
[9]   NORMAL NEC SIGNATURES [J].
BUJALANCE, E .
ILLINOIS JOURNAL OF MATHEMATICS, 1982, 26 (03) :519-530
[10]  
Bujalance E., 1990, COMBINATORIAL APPROA