THE NONEXISTENCE OF EXPANSIVE POLYCYCLIC GROUP ACTIONS ON THE CIRCLE S1

被引：1

作者：

Shi, Enhui ^{[1
]}

Wang, Suhua ^{[2
]}

Xie, Zhiwen ^{[1
]}

Xu, Hui ^{[3
]}

机构：

[1] Soochow Univ, Sch Math Sci, Suzhou 215006, Jiangsu, Peoples R China

[2] Suzhou Vocat Univ, Sch Math Sci, Suzhou 215104, Jiangsu, Peoples R China

[3] Univ Sci & Technol China, CAS Wu Wen Tsun Key Lab Math, Hefei 230026, Anhui, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 151卷 / 07期

关键词：

Expansivity; polycyclic group; topological transitivity; circle; PEANO-CONTINUA; HOMEOMORPHISMS;

D O I：

10.1090/proc/16400

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the circle S1 admits no expansive polycyclic group actions.

引用

页码：3049 / 3057

页数：9

共 50 条

[21] IMBEDDING FREE CYCLIC GROUP ACTIONS IN CIRCLE GROUP ACTIONS
TOLLEFSON, JL
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 26 (04) : 671 - +
[22] The Nonexistence of Sensitive Commutative Group Actions on Dendrites
En Hui SHI Mathematics and Science College
Acta Mathematica Sinica,English Series, 2010, 26 (10) : 1961 - 1968
[23] The nonexistence of sensitive commutative group actions on dendrites
En Hui Shi
Bin Yong Sun
Li Zhen Zhou
Acta Mathematica Sinica, English Series, 2010, 26 : 1961 - 1968
[24] The nonexistence of sensitive commutative group actions on graphs
Mai, Jie-hua
Shi, En-hui
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2007, 50 (08): : 1197 - 1204
[25] The nonexistence of sensitive commutative group actions on graphs
Jie-hua MAI~1 En-hui SHI~(2+) 1 Institute of Mathematics
2 School of Mathematical Sciences
Science China Mathematics, 2007, (08) : 1197 - 1204
[26] The nonexistence of sensitive commutative group actions on graphs
Jie-hua Mai
En-hui Shi
Science in China Series A: Mathematics, 2007, 50 : 1197 - 1204
[27] NONEXISTENCE OF PARTIAL TRACES FOR GROUP-ACTIONS
GURALNICK, RM
ISAACS, IM
PASSMAN, DS
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1981, 11 (03) : 395 - 405
[28] The Nonexistence of Sensitive Commutative Group Actions on Dendrites
Shi, En Hui
Sun, Bin Yong
Zhou, Li Zhen
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2010, 26 (10) : 1961 - 1968
[29] DIFFERENTIABLE ACTIONS OF S1 AND S3
KU, HT
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (07): : 1090 - &
[30] ALPHA-INVARIANT AND S1 ACTIONS
ONO, K
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 112 (02) : 597 - 600

← 1 2 3 4 5 →