AbstractLet (W,S) be a Coxeter system and σ be an automorphism of the Coxeter graph of (W,S). Then σ extends to a group automorphism of W and gives rise to a subgroup Wσ in W consisting of elements fixed by this automorphism σ. In this paper, we prove that Wσ is a Coxeter group, and that the Bruhat order on Wσ is the restriction of that on W
A Coxeter group W is said to be rigid if, given any two Coxeter systems (W,S) and (W,S′), there is a...
International audienceWe introduce two order relations on finite Coxeter groups which refine the abs...
This dissertation consists of three papers in combinatorial Coxeter group theory. A Coxeter group is...
In this dissertation, we describe the automorphism groups for the strong Bruhat orders A_n-1, B_n, a...
Abstract. Let (W,S) be an arbitrary Coxeter system. For each sequence ω = (ω1, ω2,...) ∈ S ∗ in the...
Abstract. If W is an infinite rank 3 Coxeter group, whose Coxeter diagram has no infinite bonds, the...
Let $(W,S)$ be an arbitrary Coxeter system. For each sequence $\omega =(\omega_1,\omega_2,\ldots) \i...
For any permutation v, we show that the special matchings of v generate a Coxeter system. This gives...
AbstractFor any permutation v, we show that the special matchings of v generate a Coxeter system. Th...
AbstractLet (W,S) be an arbitrary Coxeter system. For each word ω in the generators we define a part...
AbstractWe present a finite irreducible Coxeter group the weak Bruhat order which is not symmetric c...
Let W = (W,S) be a Coxeter group with S the set of its Coxeter genera-tors. Let ≤ be the Bruhat orde...
Let X be a subgroup of a Coxeter group W. In the paper "On Cosets in Coxeter Groups" Turk. J. Math....
AbstractApplying a classical theorem of Smith, we show that the poset property of being Gorenstein* ...
ABSTRACT. Suppose that W is an infinite Coxeter group of finite rank n, and suppose that W has a fin...
A Coxeter group W is said to be rigid if, given any two Coxeter systems (W,S) and (W,S′), there is a...
International audienceWe introduce two order relations on finite Coxeter groups which refine the abs...
This dissertation consists of three papers in combinatorial Coxeter group theory. A Coxeter group is...
In this dissertation, we describe the automorphism groups for the strong Bruhat orders A_n-1, B_n, a...
Abstract. Let (W,S) be an arbitrary Coxeter system. For each sequence ω = (ω1, ω2,...) ∈ S ∗ in the...
Abstract. If W is an infinite rank 3 Coxeter group, whose Coxeter diagram has no infinite bonds, the...
Let $(W,S)$ be an arbitrary Coxeter system. For each sequence $\omega =(\omega_1,\omega_2,\ldots) \i...
For any permutation v, we show that the special matchings of v generate a Coxeter system. This gives...
AbstractFor any permutation v, we show that the special matchings of v generate a Coxeter system. Th...
AbstractLet (W,S) be an arbitrary Coxeter system. For each word ω in the generators we define a part...
AbstractWe present a finite irreducible Coxeter group the weak Bruhat order which is not symmetric c...
Let W = (W,S) be a Coxeter group with S the set of its Coxeter genera-tors. Let ≤ be the Bruhat orde...
Let X be a subgroup of a Coxeter group W. In the paper "On Cosets in Coxeter Groups" Turk. J. Math....
AbstractApplying a classical theorem of Smith, we show that the poset property of being Gorenstein* ...
ABSTRACT. Suppose that W is an infinite Coxeter group of finite rank n, and suppose that W has a fin...
A Coxeter group W is said to be rigid if, given any two Coxeter systems (W,S) and (W,S′), there is a...
International audienceWe introduce two order relations on finite Coxeter groups which refine the abs...
This dissertation consists of three papers in combinatorial Coxeter group theory. A Coxeter group is...
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