3 citations · 9 across the 15 of their papers we have counts for
5 papers · 1 filter
A small generating set for the twist subgroup of the mapping class group of a non-orientable surface by Dehn twists
Genki Omori
We give a small generating set for the twist subgroup of the mapping class group of a non-orientable surface by Dehn twists. The difference between the number of the generators and…
An infinite presentation for the mapping class group of a non-orientable surface with boundary
Ryoma Kobayashi, Genki Omori
We give an infinite presentation for the mapping class group of a non-orientable surface with boundary components. The presentation is a generalization of the presentation given by…
A lower bound of the distortion of the Torelli group in the mapping class group with boundary components
Erika Kuno, Genki Omori
We prove that each Torelli group of an orientable surface with any number of boundary components is at least exponentially distorted in the mapping class group by using Broaddus-Fa…
A small normal generating set for the handlebody subgroup of the Torelli group
Genki Omori
We prove that the handlebody subgroup of the Torelli group of an orientable surface is generated by genus one BP-maps. As an application, we give a normal generating set for the ha…
An infinite presentation for the mapping class group of a non-orientable surface
Genki Omori
We give an infinite presentation for the mapping class group of a non-orientable surface. The generating set consists of all Dehn twists and all crosscap pushing maps along simple…