T. Hosaka

most citedA class of rigid Coxeter groups

1 citations · 3 across the 9 of their papers we have counts for

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math.GR2005

On dense orbits in the boundary of a Coxeter system

Tetsuya Hosaka

In this paper, we study the minimality of the boundary of a Coxeter system. We show that for a Coxeter system $(W, S)$ if there exist a maximal spherical subset $T$ of $S$ and an el…

math.GR2005

On a new class of rigid Coxeter groups

Tetsuya Hosaka

In this paper, we give a new class of rigid Coxeter groups. Let $(W, S)$ be a Coxeter system. Suppose that (0) for each $s, t \in S$ such that $m (s, t)$ is even, $m(s,t)\in\{2\}\cup 4\…

math.GR2005★ 1 cited

A class of rigid Coxeter groups

Tetsuya Hosaka

In this paper, we give a new class of rigid Coxeter groups. Let $(W, S)$ be a Coxeter system. Suppose that (0) for each $s, t \in S$ such that $m (s, t)$ is even, $m (s, t) = 2$ , (1) for ea…

math.GR2005★ 1 cited

A class of reflection rigid Coxeter systems

Tetsuya Hosaka

In this paper, we give a class of reflection rigid Coxeter systems. Let $(W, S)$ be a Coxeter system. Suppose that (1) for each $s, t \in S$ such that $m (s, t)$ is odd, ${s, t}$ is a…

math.GR2005

On boundaries of parabolic subgroups of Coxeter groups

Tetsuya Hosaka

In this paper, we investigate boundaries of parabolic subgroups of Coxeter groups. Let $(W, S)$ be a Coxeter system and let $T$ be a subset of $S$ such that the parabolic subgroup $…

math.GR2004

Coxeter systems with two-dimensional Davis-Vinberg complexes

Tetsuya Hosaka

In this paper, we study Coxeter systems with two-dimensional Davis-Vinberg complexes. We show that for a Coxeter group $W$ , if $(W, S)$ and $(W, S^{'})$ are Coxeter systems with two-dim…