Year: 2025
Type: article
Abstract: We provide the first example of virtually nilpotent group with a specific generating set, for which the Green series (sometimes called cogrowth series) is not D-finite. The proof relies on an arithmetical miracle, and the study of the subword complexity of a multiplicative sequence coming out of it.
Author: Corentin Bodart
Institution: University of Oxford
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
Funder: National Science Foundation
Award: G5599649393
OpenAlex ID: W4416454697