Copy For Citation
ALTUNÖZ T., PAMUK M., Yildiz O.
Mediterranean Journal of Mathematics, vol.20, no.4, 2023 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
20
Issue:
4
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Publication Date:
2023
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Doi Number:
10.1007/s00009-023-02439-6
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Journal Name:
Mediterranean Journal of Mathematics
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
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Keywords:
generating sets, involutions, Mapping class groups, punctured surfaces
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Middle East Technical University Affiliated:
Yes
Abstract
Let Mod (Σ g,p) denote the mapping class group of a connected orientable surface of genus g with p punctures. For g≥ 14 and even p≥ 10 , we prove that Mod (Σ g,p) can be generated by three involutions. For g≥ 13 and even p≥ 9 , we prove that Mod (Σ g,p) can be generated by four involutions. Moreover, for even p≥ 4 and 3 ≤ g≤ 6 , Mod (Σ g,p) can be generated by four involutions.