Involution products in Coxeter groups

S. B. Hart, P. J. Rowley

    Research output: Contribution to journalArticlepeer-review


    For W a Coxeter group, let = {w ∈ W | w = xy where x, y ∈ W and x2 = 1 = y2}. It is well known that if W is finite then W = . Suppose that w ∈ . Then the minimum value of ℓ(x) + ℓ(y) - ℓ(w), where x, y ∈ W with w = xy and x2 = 1 = y2, is called the excess of w (ℓ is the length function of W). The main result established here is that w is always W-conjugate to an element with excess equal to zero. © 2011 de Gruyter.
    Original languageEnglish
    Pages (from-to)251-259
    Number of pages8
    JournalJournal of Group Theory
    Issue number2
    Publication statusPublished - Apr 2011


    Dive into the research topics of 'Involution products in Coxeter groups'. Together they form a unique fingerprint.

    Cite this