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math.GT2023
On the Torsion Generators of the Mapping Class Groups
Tulin Altunoz, Mehmetcik Pamuk, Oguz Yildiz
We study torsion generators for the (extended) mapping class group or the extended mapping class group of a closed connected orientable surface of genus g. We show that for every g…
math.GT2023
Involution Generators of the Big Mapping Class Group
Tulin Altunoz, Mehmetcik Pamuk, Oguz Yildiz
Let S = S(n) denote the infinite surface with n ends, n \in N, accumulated by genus. For n \geq 6, we show that the mapping class group of S is topologically generated by five invo…