English

Groups normalized by the odd unitary group

Group Theory 2020-12-23 v2

Abstract

We will give a definition of quadratic forms on bimodules and prove the sandwich classification theorem for subgroups of the general linear group GL(P)\mathrm{GL}(P) normalized by the elementary unitary group EU(P)\mathrm{EU}(P) if PP is a nondegenerate bimodule with large enough hyperbolic part.

Keywords

Cite

@article{arxiv.1902.08644,
  title  = {Groups normalized by the odd unitary group},
  author = {Egor Voronetsky},
  journal= {arXiv preprint arXiv:1902.08644},
  year   = {2020}
}

Comments

The replacement has been made, since I needed to include the gratitude to the sponsor of my institute. I also added a couple of links in the bibliography and fixed some misprints

R2 v1 2026-06-23T07:48:32.981Z