- Title
- The cogrowth series for BS (N;N) is D-Finite
- Creator
- Elder, Murray; Rechnitzer, Andrew; Janse Van Rensburg, Esaias J.; Wong, Thomas
- Relation
- International Journal of Algebra and Computation Vol. 24, Issue 2, p. 171-187
- Publisher Link
- http://dx.doi.org/10.1142/S0218196714500106
- Publisher
- World Scientific Publishing
- Resource Type
- journal article
- Date
- 2014
- Description
- 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.
- Subject
- cogrowth series; Baumslag–Solitar group; D-finite generating function; algebraic generating function; amenable group
- Identifier
- http://hdl.handle.net/1959.13/1042414
- Identifier
- uon:14052
- Identifier
- ISSN:0218-1967
- Rights
- 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
- Language
- eng
- Full Text
- Reviewed
- Hits: 2855
- Visitors: 2957
- Downloads: 201
| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | ATTACHMENT02 | Author final version | 385 KB | Adobe Acrobat PDF | View Details Download |