English

Free subgroups in almost subnormal subgroups of general skew linear groups

Rings and Algebras 2016-02-12 v1

Abstract

Let DD be a weakly locally finite division ring and nn a positive integer. In this paper, we investigate the problem on the existence of non-cyclic free subgroups in non-central almost subnormal subgroups of the general linear group GLn(D){\rm GL}_n(D). Further, some applications of this fact are also investigated. In particular, all infinite finitely generated almost subnormal subgroups of GLn(D){\rm GL}_n(D) are described.

Keywords

Cite

@article{arxiv.1602.03639,
  title  = {Free subgroups in almost subnormal subgroups of general skew linear groups},
  author = {Nguyen Kim Ngoc and Mai Hoang Bien and Bui Xuan Hai},
  journal= {arXiv preprint arXiv:1602.03639},
  year   = {2016}
}

Comments

12 pages

R2 v1 2026-06-22T12:48:10.703Z