T. Hosaka

activity

20042008

most citedMinimality of the boundary of a right-angled Coxeter system

1 citations · 5 across the 13 of their papers we have counts for

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Showing 2005 · math.GRShow all

8 papers · 2 filters

math.GR2005

Dense subsets of boundaries of CAT(0) groups

Tetsuya Hosaka

In this paper, we study dense subsets of boundaries of CAT(0) groups. Suppose that a group $G$ acts geometrically on a CAT(0) space $X$ and suppose that there exists an element $g_…

math.GR2005

On the center of a Coxeter group

Tetsuya Hosaka

In this paper, we show that the center of every Coxeter group is finite and isomorphic to $(Z_{2})^{n}$ for some $n \geq 0$ . Moreover, for a Coxeter system $(W, S)$ , we prove that $Z(W)=…

math.GR2005

On fixed-point sets in the boundary of a CAT(0) space

Tetsuya Hosaka

In this paper, we investigate the fixed-point set of an element of a CAT(0) group in its boundary. Suppose that a group $G$ acts geometrically on a CAT(0) space $X$ . Let $g \in G$ a…

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…