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20192025

most citedGenerating the mapping class group by three involutions

2 citations · 4 across the 11 of their papers we have counts for

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Showing 2021Show all

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math.GT2021

Generating the Mapping Class Group of a Nonorientable Surface by Two Elements or By Three Involutions

Tulin Altunoz, Mehmetcik Pamuk, Oguz Yildiz

We prove that, for $g \geq 19$ the mapping class group of a nonorientable surface of genus $g$ , $Mod (N_{g})$ , can be generated by two elements, one of which is of order $g$ . W…

math.GT2021

The Twist Subgroup is generated by two elements

Tulin Altunoz, Mehmetcik Pamuk, Oguz Yildiz

We show that the twist subgroup $T_{g}$ of a nonorientable surface of genus $g$ can be generated by two elements for every odd $g \geq 27$ and even $g \geq 42$ . Using these gen…