Old recurrence formulae for growth series of Coxeter groups
Volume 162 / 2020
Colloquium Mathematicum 162 (2020), 135-141
MSC: Primary 20F55; Secondary 57M07.
DOI: 10.4064/cm8109-12-2019
Published online: 25 May 2020
Abstract
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.