English

Bases for counting functions on free monoids and groups

Group Theory 2024-07-16 v3

Abstract

The focus of this paper is providing a description of the spaces of counting functions on free monoids and groups and of the Brooks space. These results have been obtained in an earlier publication, however we propose an alternative, simpler approach to proving the theorems concerning the bases. Furthermore, one of the theorems at the time of writing this paper contained a slight error, and we correct it here.

Keywords

Cite

@article{arxiv.2306.15520,
  title  = {Bases for counting functions on free monoids and groups},
  author = {Petr Kiyashko},
  journal= {arXiv preprint arXiv:2306.15520},
  year   = {2024}
}
R2 v1 2026-06-28T11:15:46.034Z