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arXiv:1309.4184 [math.GR]AbstractReferencesReviewsResources

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

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

Published 2013-09-17, updated 2013-12-20Version 3

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.

Comments: 16 pages, 1 figure, 1 table. This article supersedes arXiv:1210.3425
Journal: International Journal of Algebra and Computation 24 (2014) Issue 2 pages 171-187
Categories: math.GR, math.CO
Subjects: 20F69, 20F65, 05A15
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