Abstract. We prove that two angle-compatible Coxeter generat-ing sets of a given finitely generated Coxeter group are conjugate provided one of them does not admit any elementary twist. This confirms a basic case of a general conjecture which describes a potential solution to the isomorphism problem for Coxeter groups. MSC: 20F10, 20F5
We prove that for every finite rank Coxeter group there exists a polynomial (cubic) solution to the ...
Let W be a Coxeter group. We provide a precise description of the conjugacy classes in W, yielding a...
A Coxeter group W is said to be rigid if, given any two Coxeter systems (W,S) and (W,S′), there is a...
Abstract. We prove that two angle-compatible Coxeter generat-ing sets of a given finitely generated ...
We prove that two angle-compatible Coxeter generating sets of a given finitely generated Coxeter gro...
We prove that two angle-compatible Coxeter generating sets of a given finitely generated Coxeter gro...
In this paper, we study rigidity of Coxeter systems up to finite twists. For Coxeter systems $(W,R)$...
Abstract. A Coxeter group is rigid if it cannot be dened by two nonisomorphic diagrams. There have b...
For a Coxeter group (W,S), a permutation of the set S is called a Coxeter word and the group element...
The isomorphism problem for Coxeter groups has been reduced to its "reflection preserving version" b...
To each finite simplicial graph Γ there is an associated right-angled Coxeter group given by the pre...
We prove that each finitely generated, irreducible and 2-spherical Coxeter system (W, S) is strongly...
Coxeter groups have presentations 〈S: (st)mst∀s, t ∈ S 〉 where for all s, t ∈ S, mst ∈ {1, 2,...,∞},...
The isomorphism problem of Coxeter\ud groups and related topics\ud Koji NUIDA12\ud Graduate School o...
Motivated by recent results in mathematical virology, we present novel asymmetric Z[tau]-integer-val...
We prove that for every finite rank Coxeter group there exists a polynomial (cubic) solution to the ...
Let W be a Coxeter group. We provide a precise description of the conjugacy classes in W, yielding a...
A Coxeter group W is said to be rigid if, given any two Coxeter systems (W,S) and (W,S′), there is a...
Abstract. We prove that two angle-compatible Coxeter generat-ing sets of a given finitely generated ...
We prove that two angle-compatible Coxeter generating sets of a given finitely generated Coxeter gro...
We prove that two angle-compatible Coxeter generating sets of a given finitely generated Coxeter gro...
In this paper, we study rigidity of Coxeter systems up to finite twists. For Coxeter systems $(W,R)$...
Abstract. A Coxeter group is rigid if it cannot be dened by two nonisomorphic diagrams. There have b...
For a Coxeter group (W,S), a permutation of the set S is called a Coxeter word and the group element...
The isomorphism problem for Coxeter groups has been reduced to its "reflection preserving version" b...
To each finite simplicial graph Γ there is an associated right-angled Coxeter group given by the pre...
We prove that each finitely generated, irreducible and 2-spherical Coxeter system (W, S) is strongly...
Coxeter groups have presentations 〈S: (st)mst∀s, t ∈ S 〉 where for all s, t ∈ S, mst ∈ {1, 2,...,∞},...
The isomorphism problem of Coxeter\ud groups and related topics\ud Koji NUIDA12\ud Graduate School o...
Motivated by recent results in mathematical virology, we present novel asymmetric Z[tau]-integer-val...
We prove that for every finite rank Coxeter group there exists a polynomial (cubic) solution to the ...
Let W be a Coxeter group. We provide a precise description of the conjugacy classes in W, yielding a...
A Coxeter group W is said to be rigid if, given any two Coxeter systems (W,S) and (W,S′), there is a...