Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Akita, Toshiyuki"'
Autor:
Akita, Toshiyuki, Takase, Sota
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 and their second group homology.
Comment: To appear in Kobe Journal
Comment: To appear in Kobe Journal
Externí odkaz:
http://arxiv.org/abs/2408.04265
Autor:
Akita, Toshiyuki
For any twisted conjugate quandle $Q$, and in particular any Alexander quandle, there exists a group $G$ such that $Q$ is embedded into the conjugation quandle of $G$.
Comment: to appear in Journal of Knot Theory and Its Ramifications
Comment: to appear in Journal of Knot Theory and Its Ramifications
Externí odkaz:
http://arxiv.org/abs/2210.04583
Autor:
Akita, Toshiyuki
Publikováno v:
Kyoto J. Math. 60, no. 4 (2020), 1245-1260
We give explicit descriptions of the adjoint group of the Coxeter quandle $Q_W$ associated with an arbitrary Coxeter group $W$. The adjoint group of $Q_W$ turns out to be an intermediate group between $W$ and the corresponding Artin group $A_W$, and
Externí odkaz:
http://arxiv.org/abs/1702.07104
Autor:
Akita, Toshiyuki, Liu, Ye
Publikováno v:
Algebr. Geom. Topol. 18 (2018) 547-568
In this paper, we compute the second mod $2$ homology of an arbitrary Artin group, without assuming the $K(\pi,1)$ conjecture. The key ingredients are (A) Hopf's formula for the second integral homology of a group and (B) Howlett's result on the seco
Externí odkaz:
http://arxiv.org/abs/1702.03585
Autor:
Akita, Toshiyuki, Liu, Ye
We obtain vanishing ranges for the mod $p$ cohomology of alternating subgroups of finite $p$-free Coxeter groups. Here a Coxeter group $W$ is $p$-free if the order of the product $st$ is prime to $p$ for every pair of Coxeter generators $s,t$ of $W$.
Externí odkaz:
http://arxiv.org/abs/1604.08277
Autor:
Akita, Toshiyuki
Given an odd prime number $p$ and a Coxeter group $W$ such that the order of the product $st$ is prime to $p$ for every Coxeter generators $s,t$ of $W$, we prove that the $p$-local homology groups $H_k(W,\mathbb{Z}_{(p)})$ vanish for $1\leq k\leq 2(p
Externí odkaz:
http://arxiv.org/abs/1406.0915
Autor:
Akita, Toshiyuki
An unusual formula for the Euler characteristics of even dimensional triangulated manifolds is deduced from the generalized Dehn-Sommerville equations.
Comment: 2 pages
Comment: 2 pages
Externí odkaz:
http://arxiv.org/abs/math/0612773
Autor:
Akita, Toshiyuki, Kawazumi, Nariya
The first author conjectured certain relations for Morita-Mumford classes and Newton classes in the integral cohomology of mapping class groups (integral Riemann-Roch formulae). In this paper, the conjecture is verified for cyclic subgroups of mappin
Externí odkaz:
http://arxiv.org/abs/math/0612380
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
