O. Yıldız

activity

20192022

most citedGenerating the mapping class group by three involutions

2 citations · 2 across the 5 of their papers we have counts for

collaborators

8 papers

math.GT2022

On the involution generators of the mapping class group of a punctured surface

Tulin Altunoz, Mehmetcik Pamuk, Oguz Yildiz

Let Mod(Sigma_{g, p}) denote the mapping class group of a connected orientable surface of genus g with p punctures. For every even integer p \geq 10 and g \geq 14, we prove that Mo…

math.GT2022

Generating the Level 2 Subgroup by Involutions

Tulin Altunoz, Naoyuki Monden, Mehmetcik Pamuk +1

We obtain a minimal generating set of involutions for the level 2 subgroup of the mapping class group of a closed nonorientable surface.

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…

math.GT2020

Generating mapping class group by two torsion elements

Oguz Yildiz

We prove that the mapping class group of a closed connected orientable surface of genus $g$ is generated by two elements of order $g$ for $g \geq 6$ . Moreover, for $g \geq 7$ we foun…

math.GT2020★ 2 cited

Generating the mapping class group by three involutions

Oguz Yildiz

We prove that the mapping class group of a closed connected orientable surface of genus $g$ is generated by three involutions for $g \geq 6$ .