3 papers
math.GT2022
On virtual embeddings of braid groups into mapping class groups of surfaces
Takuya Katayama, Erika Kuno
In this article, we give a necessary and sufficient condition for embedding a finite index subgroup of Artin's braid group into the mapping class group of a connected orientable su…
math.GT2018
The RAAGs on the complement graphs of path graphs in mapping class groups
Takuya Katayama, Erika Kuno
In this article, we determine the function such that the right-angled Artin group is embedded in the mapping class group if and…
math.GR2017
Embeddability of right-angled Artin groups on the complements of linear forests
Takuya Katayama
In this article, we prove that embeddings of right-angled Artin group on the complement of a linear forest into another right-angled Artin group can be reduced to full…