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

共 50 条

[31] Computing automorphisms of finite soluble groups
Smith, MJ
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1996, 53 (01) : 169 - 171
[32] ELLIPTIC-HYPERELLIPTIC KLEIN SURFACES WITH MANY AUTOMORPHISMS
BUJALANCE, E
ETAYO, JJ
GAMBOA, JM
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1986, 302 (10): : 391 - 394
[33] AUTOMORPHISMS OF ABELIAN-VARIETIES ASSOCIATED WITH KLEIN SURFACES
RIERA, G
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1995, 51 : 442 - 452
[34] On Klein surfaces and dihedral groups
Izquierdo, M
MATHEMATICA SCANDINAVICA, 1995, 76 (02) : 221 - 232
[35] Roots of mappings on nonorientable surfaces¶and equations in free groups
Daciberg L. Gonçalves
Elena Kudryavtseva
Heiner Zieschang
manuscripta mathematica, 2002, 107 : 311 - 341
[36] NEC GROUPS AND KLEIN SURFACES
BUJALANCE, E
LECTURE NOTES IN MATHEMATICS, 1983, 971 : 6 - 14
[37] On the representation varieties of the fundamental groups of compact nonorientable surfaces
BenyashKrivets, VV
Chernousov, VI
DOKLADY AKADEMII NAUK, 1997, 355 (04) : 439 - 442
[38] Roots of mappings on nonorientable surfaces and equations in free groups
Gonçalves, DL
Kudryavtseva, E
Zieschang, H
MANUSCRIPTA MATHEMATICA, 2002, 107 (03) : 311 - 341
[39] The Jacobian of a nonorientable Klein surface
Arés-Gastesi, P
Biswas, I
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2003, 113 (02): : 139 - 152
[40] FINITE-GROUPS OF AUTOMORPHISMS OF LOCALLY SOLUBLE GROUPS
HARTLEY, B
JOURNAL OF ALGEBRA, 1979, 57 (01) : 242 - 257

← 1 2 3 4 5 →