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math.GR2005
Almost central involutions in split extensions of Coxeter groups by graph automorphisms
Koji Nuida
In this paper, given a split extension of an arbitrary Coxeter group by automorphisms of the Coxeter graph, we determine the involutions in that extension whose centralizer has fin…
math.GR2005★ 8 cited
On the direct indecomposability of infinite irreducible Coxeter groups and the Isomorphism Problem of Coxeter groups
Koji Nuida
In this paper we prove, without the finite rank assumption, that any irreducible Coxeter group of infinite order is directly indecomposable as an abstract group. The key ingredient…