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arXiv · 1309.4184

The cogrowth series for $\mathrm{BS}(N,N)$ is D-finite

M. Elder·A. Rechnitzer·E. J. Janse van Rensburg·T. Wong
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Abstract

We compute the cogrowth series for Baumslag-Solitar groups $\mathrm{BS}(N,N) = < a,b | a^N b = b a^N > $, which we show to be D-finite. It follows that their cogrowth rates are algebraic numbers.

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M. Elder, A. Rechnitzer, E. J. Janse van Rensburg, T. Wong. 2013-12-20. The cogrowth series for $\mathrm{BS}(N,N)$ is D-finite. https://doi.org/10.1142/s0218196714500106

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