Polyhedral products and commutator subgroups of right-angled Artin and Coxeter groups
    
    
  
  
  
      
      
      
        
Sbornik. Mathematics, Tome 207 (2016) no. 11, pp. 1582-1600
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Math-Net.Ru
            
              			We construct and study polyhedral product models for classifying spaces of right-angled Artin and Coxeter groups, general graph product groups and their commutator subgroups. By way of application, we give a criterion for the commutator subgroup of a graph product group to be free, and provide an explicit minimal set of generators for the commutator subgroup of a right-angled Coxeter group.
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Keywords: 
right-angled Artin group, right-angled Coxeter group, graph product, commutator subgroup, polyhedral product.
                    
                    
                    
                  
                
                
                @article{SM_2016_207_11_a5,
     author = {T. E. Panov and Ya. A. Veryovkin},
     title = {Polyhedral products and commutator subgroups of right-angled {Artin} and {Coxeter} groups},
     journal = {Sbornik. Mathematics},
     pages = {1582--1600},
     publisher = {mathdoc},
     volume = {207},
     number = {11},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2016_207_11_a5/}
}
                      
                      
                    TY - JOUR AU - T. E. Panov AU - Ya. A. Veryovkin TI - Polyhedral products and commutator subgroups of right-angled Artin and Coxeter groups JO - Sbornik. Mathematics PY - 2016 SP - 1582 EP - 1600 VL - 207 IS - 11 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_2016_207_11_a5/ LA - en ID - SM_2016_207_11_a5 ER -
T. E. Panov; Ya. A. Veryovkin. Polyhedral products and commutator subgroups of right-angled Artin and Coxeter groups. Sbornik. Mathematics, Tome 207 (2016) no. 11, pp. 1582-1600. http://geodesic.mathdoc.fr/item/SM_2016_207_11_a5/
