Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897420 | Journal of Pure and Applied Algebra | 2018 | 15 Pages |
Abstract
In the present paper we obtain analogous results for the case of bordered surfaces Σ (i.e. with non-empty boundary, orientable or not). Now the genus g gets replaced by the algebraic genus α of Σ (the rank of its free fundamental group); for each α>1 we determine the maximum order mα of an action of G, classify the topological types of the corresponding surfaces (topological genus, number of boundary components, orientability) and their embeddings into S3. For example, the maximal possibility 12(αâ1) is obtained for the finitely many values α=2,3,4,5,9,11,25,97,121 and 241.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Chao Wang, Shicheng Wang, Yimu Zhang, Bruno Zimmermann,