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

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

arxiv: 1309.4184 · v3 · pith:YX7O2JNUnew · submitted 2013-09-17 · 🧮 math.GR · math.CO

The cogrowth series for BS(N,N) is D-finite

M. Elder , A. Rechnitzer , E. J. Janse van Rensburg , T. Wong This is my paper

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keywords cogrowthd-finitemathrmseriesalgebraicbaumslag-solitarcomputefollows

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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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The cogrowth series for BS(N,N) is D-finite

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