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Old recurrence formulae for growth series of Coxeter groups

Volume 162 / 2020

Jan Dymara Colloquium Mathematicum 162 (2020), 135-141 MSC: Primary 20F55; Secondary 57M07. DOI: 10.4064/cm8109-12-2019 Published online: 25 May 2020


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.


  • Jan DymaraInstytut Matematyczny
    Uniwersytet Wrocławski
    Pl. Grunwaldzki 2/4
    50-384 Wrocław, Poland

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