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math.GR2013★ 1 cited
Random sampling of trivials words in finitely presented groups
M. Elder, A. Rechnitzer, E. J. Janse van Rensburg
We describe a novel algorithm for random sampling of freely reduced words equal to the identity in a finitely presented group. The algorithm is based on Metropolis Monte Carlo samp…
math.GR2013★ 4 cited
The cogrowth series for is D-finite
M. Elder, A. Rechnitzer, E. J. Janse van Rensburg +1
We compute the cogrowth series for Baumslag-Solitar groups , which we show to be D-finite. It follows that their cogrowth rates are alg…
math.GR2012
On trivial words in finitely presented groups
M. Elder, A. Rechnitzer, E. J. Janse van Rensburg +1
We propose a numerical method for studying the cogrowth of finitely presented groups. To validate our numerical results we compare them against the corresponding data from groups w…