English

Subgroups of a finitary linear group

Group Theory 2020-04-28 v1

Abstract

Let FL_s(K) be the finitary linear group of degree s over an associative ring K with unity. We prove that the torsion subgroups of FL_s(K) are locally finite for certain classes of rings K. A description of some f.g. solvable subgroups of FL_s(K) are given.

Keywords

Cite

@article{arxiv.2004.12354,
  title  = {Subgroups of a finitary linear group},
  author = {V. A. Bovdi and O. Yu. Dashkova and M. A. Salim},
  journal= {arXiv preprint arXiv:2004.12354},
  year   = {2020}
}

Comments

7 pages

R2 v1 2026-06-23T15:06:12.437Z