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

Elder, M; Rechnitzer, A; Janse Van Rensburg, EJ; Wong, T

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

Elder, M

Rechnitzer, A Janse Van Rensburg, EJ Wong, T

Permalink

Publication Type:: Journal Article
Citation:: International Journal of Algebra and Computation, 2014, 24 (2), pp. 171 - 187
Issue Date:: 2014-01-01

Open Access

Copyright Clearance Process

Recently Added
In Progress
Open Access

This item is open access.

Adobe PDF

Download Accepted Manuscript VersionAdobe PDF (203.24 kB)

View on publisher's site

View statistics

Full metadata record

Field	Value	Language
dc.contributor.author	Elder, M https://orcid.org/0000-0002-2438-3945	en_US
dc.contributor.author	Rechnitzer, A	en_US
dc.contributor.author	Janse Van Rensburg, EJ	en_US
dc.contributor.author	Wong, T	en_US
dc.date.issued	2014-01-01	en_US
dc.identifier.citation	International Journal of Algebra and Computation, 2014, 24 (2), pp. 171 - 187	en_US
dc.identifier.issn	0218-1967	en_US
dc.identifier.uri	http://hdl.handle.net/10453/97347
dc.description.abstract	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. © 2014 World Scientific Publishing Company.	en_US
dc.relation.ispartof	International Journal of Algebra and Computation	en_US
dc.relation.isbasedon	10.1142/S0218196714500106	en_US
dc.subject.classification	General Mathematics	en_US
dc.title	The cogrowth series for BS(N, N) is D-finite	en_US
dc.type	Journal Article
utslib.citation.volume	2	en_US
utslib.citation.volume	24	en_US
utslib.for	0101 Pure Mathematics	en_US
utslib.for	0103 Numerical and Computational Mathematics	en_US
utslib.for	0802 Computation Theory and Mathematics	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Science
pubs.organisational-group	/University of Technology Sydney/Faculty of Science/School of Mathematical and Physical Sciences
utslib.copyright.status	open_access
pubs.issue	2	en_US
pubs.publication-status	Published	en_US
pubs.volume	24	en_US

Abstract:

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. © 2014 World Scientific Publishing Company.

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/97347