English

Matrix entries, unipotents, and linearity of amalgams

Group Theory 2026-03-26 v1 Geometric Topology

Abstract

We investigate linearity of amalgams of subgroups of algebraic groups along intersections with algebraic subgroups. In the process, we establish linearity of certain "doubles" of linear groups, and obtain new examples of finitely generated residually finite groups that fail to be linear.

Keywords

Cite

@article{arxiv.2603.23969,
  title  = {Matrix entries, unipotents, and linearity of amalgams},
  author = {Sami Douba and Konstantinos Tsouvalas},
  journal= {arXiv preprint arXiv:2603.23969},
  year   = {2026}
}

Comments

18 pages. Comments welcome