English

Groups with flat-rank greater than 1

Group Theory 2023-02-28 v1

Abstract

A general method for finding subgroups of a totally disconnected, locally compact groups having flat-rank greater than 1 is described. This method uses the internal structure of the group, notably the Levi subgroup of a given flat group, in order to produce a new flat group that, under an additional hypothesis, has flat-rank one greater than that of the given group.

Keywords

Cite

@article{arxiv.2302.13196,
  title  = {Groups with flat-rank greater than 1},
  author = {George A. Willis},
  journal= {arXiv preprint arXiv:2302.13196},
  year   = {2023}
}
R2 v1 2026-06-28T08:49:38.709Z