Peter Rowley

activity

20142024

most citedInvolution Products in Coxeter Groups

1 citations · 1 across the 6 of their papers we have counts for

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math.GR2024

The Bruhat Order of a Finite Coxeter Group and Elnitsky Tilings

Robert Nicolaides, Peter Rowley

Suppose that $W$ is a finite Coxeter group and $W_{J}$ a standard parabolic subgroup of $W$ . The main result proved here is that for any for any $w \in W$ and reduced expression of $…

math.GR2014★ 1 cited

Involution Products in Coxeter Groups

Sarah B. Hart, Peter J. Rowley

For $W$ a Coxeter group, let $\mathcal{W} = \{ w \in W \;| \; w = xy \; \mbox{where} \; x, y \in W \; \mbox{and} \; x^2 = 1 = y^2 \}$. If $W$ is finite, then it is well known that…

math.GR2014

On Excess in Finite Coxeter Groups

Sarah B. Hart, Peter J. Rowley

For a finite Coxeter group $W$ and $w$ an element of $W$ the `excess' of $w$ is defined to be $e (w) = min {ℓ (x) + ℓ (y) - ℓ (w) ∣ w = x y, x^{2} = y^{2} = 1}$ where $\el…

math.GR2014

Zero Excess and Minimal Length in Finite Coxeter Groups

Sarah B. Hart, Peter J. Rowley

Let $W$ be the set of strongly real elements of $W$ , a Coxeter group. Then for $w \in W$ , $e (w)$ , the excess of $w$ , is defined by $e(w) = \min\{\ell(x) + \ell(…