English

A remark on double cosets

Group Theory 2008-10-08 v1

Abstract

If a soluble group GG contains two finitely generated abelian subgroups A,BA,B such that the number of double cosets AgBAgB is finite, then GG is shown to be virtually polycyclic.

Keywords

Cite

@article{arxiv.0810.1162,
  title  = {A remark on double cosets},
  author = {James Howie},
  journal= {arXiv preprint arXiv:0810.1162},
  year   = {2008}
}

Comments

9 pages

R2 v1 2026-06-21T11:28:05.478Z