P. Rowley

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20092022

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Showing 2014 · math.GRShow all

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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(…