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

Autor:	Murray Elder, Andrew Rechnitzer, Esaias J. Janse van Rensburg, Thomas Wong
Rok vydání:	2014
Předmět:	Combinatorics Series (mathematics) General Mathematics 010102 general mathematics Amenable group 010103 numerical & computational mathematics Baumslag–Solitar group 0101 mathematics Algebraic number 01 natural sciences Mathematics
Zdroj:	International Journal of Algebra and Computation. 24:171-187
ISSN:	1793-6500 0218-1967
DOI:	10.1142/s0218196714500106
Popis:	We compute the cogrowth series for Baumslag–Solitar groups BS (N, N) = 〈a,b|aNb = baN〉, which we show to be D-finite. It follows that their cogrowth rates are algebraic numbers.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2c7a626ad3eb7c58b4b877e1c5d7c147 https://doi.org/10.1142/s0218196714500106 Zobrazit plný text záznamu