3 citations · 10 across the 5 of their papers we have counts for
5 papers
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 normal generating set for the Torelli group of a non-orientable closed surface
Susumu Hirose, Ryoma Kobayashi
For a closed surface , its Torelli group is the subgroup of the mapping class group of consisting of elements acting trivially on . When…
A finite presentation for the automorphism group of the first homology of a non-orientable surface over preserving the mod intersection form
Ryoma Kobayashi, Genki Omori
Let be the group of automorphisms on the first homology group with coefficient of a closed non-orientable surface $N…
A finite presentation of the level principal congruence subgroup of
Ryoma Kobayashi
It is known that the level principal congruence subgroup of has a finite generating set. In this paper, we give a finite presentation of the level princi…
On genera of Lefschetz fibrations and finitely presented groups
Ryoma Kobayashi
It is known that every finitely presented group is the fundamental group of the total space of a Lefschetz fibration. In this paper, we give another proof which improves the result…