T. Akita

activity

19972025

most citedThe adjoint group of a Coxeter quandle

5 citations · 9 across the 10 of their papers we have counts for

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3 papers · 1 filter

math.AT2017★ 3 cited

Second mod $2$ homology of Artin groups

Toshiyuki Akita, Ye Liu

In this paper, we compute the second mod $2$ homology of an arbitrary Artin group, without assuming the $K (π, 1)$ conjecture. The key ingredients are (A) Hopf's formula for the seco…

math.AT2016

Vanishing ranges for the mod $p$ cohomology of alternating subgroups of Coxeter groups

Toshiyuki Akita, Ye Liu

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 $…

math.AT2014★ 1 cited

A vanishing theorem for the $p$ -local homology of Coxeter groups

Toshiyuki Akita

Given an odd prime number $p$ and a Coxeter group $W$ such that the order of the product $s t$ is prime to $p$ for every Coxeter generators $s, t$ of $W$ , we prove that the $p$ -local…

Second mod 2 homology of Artin groups

Vanishing ranges for the mod p cohomology of alternating subgroups of Coxeter groups

A vanishing theorem for the p-local homology of Coxeter groups

Second mod $2$ homology of Artin groups

Vanishing ranges for the mod $p$ cohomology of alternating subgroups of Coxeter groups

A vanishing theorem for the $p$ -local homology of Coxeter groups