Free actions of finite Abelian groups on handlebodies

被引：1

作者：

Wanderley, M

机构：

[1] Departamento de Matemática, Universidade Federal de Pernambuco, Recife-Pe. CEP. 50740-540, Av. Prof. Luiz Freire s/n Cid. Univ.

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1997年 / 324卷 / 11期

关键词：

D O I：

10.1016/S0764-4442(99)80410-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that two free actions of a finite abelian group (of orientation preserving homeomorphisms) on a handlebody are equivalent. Moreover, the free genus of such a group is determined.

引用

页码：1259 / 1264

页数：6

共 50 条

[1] COHOMOLOGY OF FINITE ABELIAN p-GROUPS AND FREE ACTIONS
Alzubaidy, Kahtan H.
[J]. TAMKANG JOURNAL OF MATHEMATICS, 2010, 41 (03): : 271 - 273
[2] Free actions on handlebodies
McCullough, D
Wanderley, M
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2003, 181 (01) : 85 - 104
[3] On genus actions of finite simple groups on handlebodies and bounded surfaces
Zimmermann, BP
[J]. BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2004, 10 : 535 - 543
[4] FREE ACTIONS OF FINITE ABELIAN-GROUPS ON THE 3-TORUS
LEE, KB
SHIN, J
YOKURA, S
[J]. TOPOLOGY AND ITS APPLICATIONS, 1993, 53 (02) : 153 - 175
[5] Free actions of finite abelian groups on 3-dimensional nilmanifolds
Choi, D
Shin, J
[J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2005, 42 (04) : 795 - 826
[6] On finite state automaton actions of HNN extensions of free abelian groups
Prokhorchuk, V.
[J]. CARPATHIAN MATHEMATICAL PUBLICATIONS, 2021, 13 (01) : 180 - 188
[7] Infra-abelian groups and free actions of finite groups on the N-torus
Gonçalves, DL
Vieira, JP
[J]. COMMUNICATIONS IN ALGEBRA, 2002, 30 (06) : 2791 - 2803
[8] Imbeddings of free actions on handlebodies
McCullough, D
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (07) : 2247 - 2253
[9] FREE GROUPS AND HANDLEBODIES
ANDREWS, JJ
CURTIS, ML
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 16 (02) : 192 - &
[10] Uniqueness of orientation-preserving free actions of finite abelian groups on surfaces
She, Yan
Zhao, Xuezhi
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2018, 222 (07) : 1727 - 1737

← 1 2 3 4 5 →