Geodesic
Embedding surfaces into $S^3$ with maximum symmetry
Chao Wang1 ; Shicheng Wang1 ; Yimu Zhang1 ; Bruno Zimmermann2
1Peking University, Beijing, China
2Università degli Studi di Trieste, Italy
Groups, geometry, and dynamics, Tome 9 (2015) no. 4, pp. 1001-1045

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DOI

We restrict our discussion to the orientable category. For g>1, let OEg​ be the maximum order of a finite group G acting on the closed surface Σg​ of genus g which extends over (S3,Σg​), for all possible embeddings Σg​↪S3. We will determine OEg​ for each g, indeed the action realizing OEg​.
DOI : 10.4171/ggd/334
Classification : 57-XX, 05-XX, 20-XX
Mots-clés : Surface symmetry, extendable action, 3-orbifolds, maximal order

Chao Wang  1   ; Shicheng Wang  1   ; Yimu Zhang  1   ; Bruno Zimmermann  2

1 Peking University, Beijing, China
2 Università degli Studi di Trieste, Italy 
Chao Wang; Shicheng Wang; Yimu Zhang; Bruno Zimmermann. Embedding surfaces into $S^3$ with maximum symmetry. Groups, geometry, and dynamics, Tome 9 (2015) no. 4, pp. 1001-1045. doi: 10.4171/ggd/334
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     title = {Embedding surfaces into $S^3$ with maximum symmetry},
     journal = {Groups, geometry, and dynamics},
     pages = {1001--1045},
     year = {2015},
     volume = {9},
     number = {4},
     doi = {10.4171/ggd/334},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/334/}
}
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