Finite Group Actions on the Genus-2 Surface, Geometric Generators and Extendability

Chao Wang; Shicheng Wang; Yimu Zhang; Bruno Zimmermann

doi:10.13137/2464-8728/30959

Finite Group Actions on the Genus-2 Surface, Geometric Generators and Extendability

Chao Wang^*
, Shicheng Wang^*
, Yimu Zhang^*
, Bruno Zimmermann^*

^*Corresponding author for this work

School of Mathematical Sciences

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

Abstract

For each orientation-preserving finite group action on the closed orientable surface of genus 2, we determine its extendability over the handlebody of geuns 2 and over the 3-sphere; to do this we first find geometric generators.

Original language	English
Pages (from-to)	513-524
Number of pages	12
Journal	Rendiconti dell'Istituto di Matematica dell'Universita di Trieste
Volume	52
DOIs	https://doi.org/10.13137/2464-8728/30959
State	Published - 2020

Keywords

extendable action
symmetry of 3-sphere
symmetry of surface

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10.13137/2464-8728/30959

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@article{b5e3f5ae86564a80a0668e5c6ab1bc77,

title = "Finite Group Actions on the Genus-2 Surface, Geometric Generators and Extendability",

abstract = "For each orientation-preserving finite group action on the closed orientable surface of genus 2, we determine its extendability over the handlebody of geuns 2 and over the 3-sphere; to do this we first find geometric generators.",

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

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

year = "2020",

doi = "10.13137/2464-8728/30959",

language = "英语",

volume = "52",

pages = "513--524",

journal = "Rendiconti dell'Istituto di Matematica dell'Universita di Trieste",

issn = "0049-4704",

publisher = "EUT Edizioni Universita di Trieste",

}

TY - JOUR

T1 - Finite Group Actions on the Genus-2 Surface, Geometric Generators and Extendability

AU - Wang, Chao

AU - Wang, Shicheng

AU - Zhang, Yimu

AU - Zimmermann, Bruno

PY - 2020

Y1 - 2020

N2 - For each orientation-preserving finite group action on the closed orientable surface of genus 2, we determine its extendability over the handlebody of geuns 2 and over the 3-sphere; to do this we first find geometric generators.

AB - For each orientation-preserving finite group action on the closed orientable surface of genus 2, we determine its extendability over the handlebody of geuns 2 and over the 3-sphere; to do this we first find geometric generators.

KW - extendable action

KW - symmetry of 3-sphere

KW - symmetry of surface

UR - https://www.scopus.com/pages/publications/85108705886

U2 - 10.13137/2464-8728/30959

DO - 10.13137/2464-8728/30959

M3 - 文章

AN - SCOPUS:85108705886

SN - 0049-4704

VL - 52

SP - 513

EP - 524

JO - Rendiconti dell'Istituto di Matematica dell'Universita di Trieste

JF - Rendiconti dell'Istituto di Matematica dell'Universita di Trieste

ER -

Finite Group Actions on the Genus-2 Surface, Geometric Generators and Extendability

Abstract

Keywords

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