Old recurrence formulae for growth series of Coxeter groups
Tom 162 / 2020
                    
                    
                        Colloquium Mathematicum 162 (2020), 135-141                    
                                        
                        MSC: Primary 20F55; Secondary 57M07.                    
                                        
                        DOI: 10.4064/cm8109-12-2019                    
                                            
                            Opublikowany online: 25 May 2020                        
                                    
                                                Streszczenie
Several classical formulae for the growth series of a Coxeter group are proved in a new way, using the structure of the Coxeter complex, the Davis complex, or the Tits non-complex.