Maximum orders of extendable actions on surfaces

Chao Wang; Shi Cheng Wang; Yi Mu Zhang

doi:10.1007/s10114-014-4111-6

Maximum orders of extendable actions on surfaces

Chao Wang^*
, Shi Cheng Wang
, Yi Mu Zhang

^*Corresponding author for this work

Peking University

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

8 Scopus citations

Abstract

We determine the maximum order E_g of finite groups G acting on the closed surface Σ_g of genus g which extends over (S³,Σ_g) for all possible embeddings Σ_g ↪ S³, where g > 1.

Original language	English
Pages (from-to)	54-68
Number of pages	15
Journal	Acta Mathematica Sinica, English Series
Volume	32
Issue number	1
DOIs	https://doi.org/10.1007/s10114-014-4111-6
State	Published - 1 Jan 2016
Externally published	Yes

Keywords

Symmetry of surface
extendable action
symmetry of 3-sphere

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10.1007/s10114-014-4111-6

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title = "Maximum orders of extendable actions on surfaces",

abstract = "We determine the maximum order Eg of finite groups G acting on the closed surface Σg of genus g which extends over (S3,Σg) for all possible embeddings Σg ↪ S3, where g > 1.",

keywords = "Symmetry of surface, extendable action, symmetry of 3-sphere",

author = "Chao Wang and Wang, \{Shi Cheng\} and Zhang, \{Yi Mu\}",

note = "Publisher Copyright: {\textcopyright} 2016, Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg.",

year = "2016",

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doi = "10.1007/s10114-014-4111-6",

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T1 - Maximum orders of extendable actions on surfaces

AU - Wang, Chao

AU - Wang, Shi Cheng

AU - Zhang, Yi Mu

PY - 2016/1/1

Y1 - 2016/1/1

N2 - We determine the maximum order Eg of finite groups G acting on the closed surface Σg of genus g which extends over (S3,Σg) for all possible embeddings Σg ↪ S3, where g > 1.

AB - We determine the maximum order Eg of finite groups G acting on the closed surface Σg of genus g which extends over (S3,Σg) for all possible embeddings Σg ↪ S3, where g > 1.

KW - Symmetry of surface

KW - extendable action

KW - symmetry of 3-sphere

UR - https://www.scopus.com/pages/publications/84949529967

U2 - 10.1007/s10114-014-4111-6

DO - 10.1007/s10114-014-4111-6

M3 - 文章

AN - SCOPUS:84949529967

SN - 1439-8516

VL - 32

SP - 54

EP - 68

JO - Acta Mathematica Sinica, English Series

JF - Acta Mathematica Sinica, English Series

IS - 1

ER -

Maximum orders of extendable actions on surfaces

Abstract

Keywords

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