Maximum orders of cyclic group actions on surfaces extending over the 3-dimensional torus

Chao Wang; Shicheng Wang; Yimu Zhang

doi:10.1142/S0218216517420056

Maximum orders of cyclic group actions on surfaces extending over the 3-dimensional torus

Chao Wang
, Shicheng Wang^*
, Yimu Zhang

^*Corresponding author for this work

University of Science and Technology of China
Peking University
Jilin University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We determine the maximum order of cyclic group actions on the pair (T3, ∑ g) among all embeddings of closed surface ∑g(g > 1) into the 3-dimensional torus T3 in the orientable category.

Original language	English
Article number	1742005
Journal	Journal of Knot Theory and its Ramifications
Volume	26
Issue number	6
DOIs	https://doi.org/10.1142/S0218216517420056
State	Published - 1 May 2017
Externally published	Yes

Keywords

3-torus
Maximum order
extendable action
orbifold

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10.1142/S0218216517420056

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title = "Maximum orders of cyclic group actions on surfaces extending over the 3-dimensional torus",

abstract = "We determine the maximum order of cyclic group actions on the pair (T3, ∑ g) among all embeddings of closed surface ∑g(g > 1) into the 3-dimensional torus T3 in the orientable category.",

keywords = "3-torus, Maximum order, extendable action, orbifold",

author = "Chao Wang and Shicheng Wang and Yimu Zhang",

note = "Publisher Copyright: {\textcopyright} 2017 World Scientific Publishing Company.",

year = "2017",

month = may,

day = "1",

doi = "10.1142/S0218216517420056",

language = "英语",

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T1 - Maximum orders of cyclic group actions on surfaces extending over the 3-dimensional torus

AU - Wang, Chao

AU - Wang, Shicheng

AU - Zhang, Yimu

PY - 2017/5/1

Y1 - 2017/5/1

N2 - We determine the maximum order of cyclic group actions on the pair (T3, ∑ g) among all embeddings of closed surface ∑g(g > 1) into the 3-dimensional torus T3 in the orientable category.

AB - We determine the maximum order of cyclic group actions on the pair (T3, ∑ g) among all embeddings of closed surface ∑g(g > 1) into the 3-dimensional torus T3 in the orientable category.

KW - 3-torus

KW - Maximum order

KW - extendable action

KW - orbifold

UR - https://www.scopus.com/pages/publications/85015756219

U2 - 10.1142/S0218216517420056

DO - 10.1142/S0218216517420056

M3 - 文章

AN - SCOPUS:85015756219

SN - 0218-2165

VL - 26

JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

IS - 6

M1 - 1742005

ER -

Maximum orders of cyclic group actions on surfaces extending over the 3-dimensional torus

Abstract

Keywords

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