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	Embedding surfaces into S-3 with maximum symmetry
	Wang, Chao ; Wang, Shicheng ; Zhang, Yimu ; Zimmermann, Bruno
	2015
关键词	Surface symmetry extendable action 3-orbifolds maximal order
英文摘要	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 Sigma(g) of genus g which extends over (S-3, Sigma(g)), for all possible embeddings Sigma(g) curved right arrow S-3. We will determine OEg for each g, indeed the action realizing OEg. In particular, with 2 3 exceptions, OEg is 4(g + 1) if g not equal k(2) or 4(root g + 1)(2) if g = k(2), and moreover OEg can be realized by unknotted embeddings for all g except for g = 21 and 481.; National Natural Science Foundation of China [11371034]; Beijing International Center for Mathematical Research; SCI(E); ARTICLE; chao_wang_1987@126.com; wangsc@math.pku.edu.cn; zym534685421@126.com; zimmer@units.it; 4; 1001-1045; 9
语种	英语
出处	SCI
出版者	GROUPS GEOMETRY AND DYNAMICS
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/439527]
专题	数学科学学院
推荐引用方式 GB/T 7714	Wang, Chao,Wang, Shicheng,Zhang, Yimu,et al. Embedding surfaces into S-3 with maximum symmetry. 2015-01-01.

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