Add to ORKGFor each Artin group, the reduced 2-cohomology of (the universal cover of) its ‘Salvetti complex ’ is computed. This is a CW-complex which is conjectured to be a model for the classifying space of the Artin group. In the many cases when this conjecture is known to hold the calculation describes the reduced 2-cohomology of the Artin group. 1
We prove the {$}{$}K({$ackslash$}pi ,1){$}{$}K(π,1)conjecture for affine Artin groups: the complexif...
The book is a mostly translated reprint of a report on cohomology of groups from the 1950s and 1960s...
We study the outer automorphism group of a right-angled Artin group AΓ in the case where the definin...
Abstract. For each Artin group we compute the reduced `2-cohomology of (the universal cover of) its ...
For each Artin group we compute the reduced ℓ2-cohomology of its 'Salvetti complex'. This is a CW-co...
Abstract. English version: The aim of this short survey is to give a quick introduction to the Salve...
A theorem proved by Dobrinskaya [9] shows that there is a strong connection between the K(π,1) conje...
The result of this paper is the determination of the cohomology of Artin groups of type A(n), B-n an...
AbstractLet W be a finite irreducible Coxeter group and let XW be the classifying space for GW, the ...
The aim of this short survey is to give a quick introduction to the Salvetti complex as a tool for t...
AbstractA simplicial complex L on n vertices determines a subcomplex TL of the n-torus, with fundame...
Let W be a finite irreducible Coxeter group and let X-W be the classifying space for G(W), the assoc...
Abstract. Artin groups are a natural generalization of braid groups and are well-understood in certa...
In this paper integer cohomology rings of Artin groups associated with exceptional groupsare determi...
Categorifying the concept of topological group, one obtains the notion of a “topological 2-group”. T...
We prove the {$}{$}K({$ackslash$}pi ,1){$}{$}K(π,1)conjecture for affine Artin groups: the complexif...
The book is a mostly translated reprint of a report on cohomology of groups from the 1950s and 1960s...
We study the outer automorphism group of a right-angled Artin group AΓ in the case where the definin...
Abstract. For each Artin group we compute the reduced `2-cohomology of (the universal cover of) its ...
For each Artin group we compute the reduced ℓ2-cohomology of its 'Salvetti complex'. This is a CW-co...
Abstract. English version: The aim of this short survey is to give a quick introduction to the Salve...
A theorem proved by Dobrinskaya [9] shows that there is a strong connection between the K(π,1) conje...
The result of this paper is the determination of the cohomology of Artin groups of type A(n), B-n an...
AbstractLet W be a finite irreducible Coxeter group and let XW be the classifying space for GW, the ...
The aim of this short survey is to give a quick introduction to the Salvetti complex as a tool for t...
AbstractA simplicial complex L on n vertices determines a subcomplex TL of the n-torus, with fundame...
Let W be a finite irreducible Coxeter group and let X-W be the classifying space for G(W), the assoc...
Abstract. Artin groups are a natural generalization of braid groups and are well-understood in certa...
In this paper integer cohomology rings of Artin groups associated with exceptional groupsare determi...
Categorifying the concept of topological group, one obtains the notion of a “topological 2-group”. T...
We prove the {$}{$}K({$ackslash$}pi ,1){$}{$}K(π,1)conjecture for affine Artin groups: the complexif...
The book is a mostly translated reprint of a report on cohomology of groups from the 1950s and 1960s...
We study the outer automorphism group of a right-angled Artin group AΓ in the case where the definin...