The cogrowth series for BS (N;N) is D-Finite

Elder, Murray; Rechnitzer, Andrew; Janse Van Rensburg, Esaias J.; Wong, Thomas

The cogrowth series for BS (N;N) is D-Finite

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posted on 2025-05-09, 08:40 authored by Murray Elder, Andrew Rechnitzer, Esaias J. Janse Van Rensburg, Thomas Wong

We compute the cogrowth series for Baumslag–Solitar groups BS(N, N) = 〈a,b|a^Nb = ba^N〉, which we show to be D-finite. It follows that their cogrowth rates are algebraic numbers.

History

Journal title

International Journal of Algebra and Computation

Volume

24

Issue

2

Pagination

171-187

Publisher

World Scientific Publishing

Language

en, English

College/Research Centre

Faculty of Science and Information Technology

School

School of Mathematical and Physical Sciences

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Electronic version of an article published as Murray Elder et al, The cogrowth series for BS (N;N) is D-Finite. International Journal of Algebra and Computation, 24, 171-187 (2014) DOI: 10.1142/S0218196714500106 © copyright World Scientific Publishing Company http://www.worldscientific.com/worldscinet/ijac

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Keywords

cogrowth series Baumslag–Solitar group D-finite generating function algebraic generating function amenable group

The cogrowth series for BS (N;N) is D-Finite

History

Journal title

Volume

Issue

Pagination

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College/Research Centre

School

Rights statement

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