English

The affine Artin group of type $\widetilde B_n$ is virtually poly-free

Group Theory 2025-10-31 v2 Algebraic Topology

Abstract

In this note we prove that the affine Artin group of type B~n\widetilde B_n is virtually poly-free. The proof also gives another solution of the K(π,1)K(\pi, 1) problem for B~n\widetilde B_n.

Keywords

Cite

@article{arxiv.2403.09533,
  title  = {The affine Artin group of type $\widetilde B_n$ is virtually poly-free},
  author = {Li Li and S. K. Roushon},
  journal= {arXiv preprint arXiv:2403.09533},
  year   = {2025}
}

Comments

10 pages, Bull. Sci. Math. (to appear)