ON SOLUBLE GROUPS OF AUTOMORPHISMS OF NONORIENTABLE KLEIN SURFACES

被引：0

作者：

GROMADZKI, G

机构：

[1] PEDAGOG UNIV WSP,INST MATH,PL-85064 BYDGOSZCZ,POLAND

[2] UNIV COMPLUTENSE MADRID,MADRID 3,SPAIN

来源：

FUNDAMENTA MATHEMATICAE | 1992年 / 141卷 / 03期

关键词：

RIEMANN SURFACES; KLEIN SURFACES; AUTOMORPHISM GROUPS; SOLUBLE GROUPS;

D O I：

10.4064/fm-141-3-215-227

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We classify up to topological type nonorientable bordered Klein surfaces with maximal symmetry and soluble automorphism group provided its solubility degree does not exceed 4. Using this classification we show that a soluble group of automorphisms of a nonorientable Riemann surface of algebraic genus q greater-than-or-equal-to 2 has at most 24(q - 1) elements and that this bound is sharp for infinitely many values of q.

引用

页码：215 / 227

页数：13

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