5 citations · 9 across the 10 of their papers we have counts for
12 papers
The second integral homology of even Artin groups
Toshiyuki Akita
In this paper, we compute the second integral homology of even Artin groups using Hopf's formula. We then apply our results to the computation of cup products and Pontryagin produc…
Groups admitting Wirtinger presentations and Gromov hyperbolic groups
Toshiyuki Akita
Twisted Wirtinger presentations are generalizations of the classical Wirtinger presentations of knot and link groups. In this paper, we prove that if a finitely generated group adm…
Associated groups of symmetric quandles
Toshiyuki Akita, Kakeru Shikata
In this paper, we investigate the structure of associated groups of symmetric quandles. Among other results, we explore the relationship between the associated group of a symmetric…
Groups having Wirtinger presentations and the second group homology
Toshiyuki Akita, Sota Takase
Kuz'min (1996) characterized groups having Wirtinger presentations in relation to their second group homology. In this paper, we further refine the relation between these groups an…
Embedding Alexander quandles into groups
Toshiyuki Akita
For any twisted conjugate quandle , and in particular any Alexander quandle, there exists a group such that is embedded into the conjugation quandle of .
Second mod homology of Artin groups
Toshiyuki Akita, Ye Liu
In this paper, we compute the second mod homology of an arbitrary Artin group, without assuming the conjecture. The key ingredients are (A) Hopf's formula for the seco…