English

Locally solvable subnormal and quasinormal subgroups of division rings

Rings and Algebras 2021-12-21 v6

Abstract

Let DD be a division ring with center FF, and GG a subnormal or quasinormal subgroup of DD^*. We show that if GG is locally solvable, then GG is contained in FF.

Keywords

Cite

@article{arxiv.1903.11216,
  title  = {Locally solvable subnormal and quasinormal subgroups of division rings},
  author = {Le Qui Danh and Huynh Viet Khanh},
  journal= {arXiv preprint arXiv:1903.11216},
  year   = {2021}
}