English

Rationality of the multivariate growth series for algebraic sets of virtually abelian groups

Group Theory 2025-03-05 v3 Combinatorics

Abstract

We prove the rationality of the multivariate relative growth series for algebraic sets of virtually abelian groups, which had been conjectured by Evetts and Levine.

Keywords

Cite

@article{arxiv.2408.10521,
  title  = {Rationality of the multivariate growth series for algebraic sets of virtually abelian groups},
  author = {Yusuke Nakamura},
  journal= {arXiv preprint arXiv:2408.10521},
  year   = {2025}
}

Comments

11 pages. To appear in Journal of Algebraic Combinatorics