Embedding compact surfaces into the 3-dimensional Euclidean space with maximum symmetry

作     者：WANG Chao WANG ShiCheng ZHANG YiMu ZIMMERMANN Bruno 

作者机构：Jonsvannsveien 87BH0201Trondheim 7050Noway School of Mathematical SciencesPeking UniversityBeijing 100871China Mathematics SchoolJilin UniversityChangehun 130012China Dipartimento di Matematica e GeoseienzeUniversita degli Studi di TriesteTrieste 34100Italy 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2017年第60卷第9期

页      面：1599-1614页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11371034 and 11501239) 

主　　题：finite group action extendable action symmetry of surface maximum order 

摘      要：The symmetries of surfaces which can be embedded into the symmetries of the 3-dimensional Euclidean space R3 are easier to feel by human＇s intuition. We give the maximum order of finite group actions on （R3 E） among all possible embedded closed/bordered surfaces with given geometric/algebraic genus greater than 1 in R3. We also identify the topological types of the bordered surfaces realizing the maximum order, and findsimple representative embeddings for such surfaces.