English

Width of SL(n,O_S,I)

Group Theory 2023-05-30 v1

Abstract

We give an estimate for the width of the congruence subgroup SL(n,OS,I)\mathrm{SL}(n,O_S,I) in Tits--Vaserstein generators, where OSO_S is a localisation of the ring of integers in a number field KK. We assume that either KK has a real embedding, or the ideal II is prime to the number of roots of unity in KK.

Cite

@article{arxiv.2206.11101,
  title  = {Width of SL(n,O_S,I)},
  author = {Pavel Gvozdevsky},
  journal= {arXiv preprint arXiv:2206.11101},
  year   = {2023}
}

Comments

16 pages, no figures, submitted to Communications in Algebra

R2 v1 2026-06-24T12:00:13.214Z