English

Linear groups over a locally linear division ring

Rings and Algebras 2011-03-16 v3 Group Theory

Abstract

In this paper, in the first we give definitions of some classes of division rings which strictly contain the class of centrally finite division rings. One of our main purpose is to construct non-trivial examples of rings of new defined classes. Further, we study linear groups over division rings of these classes. Our new obtained results generalize precedent results for centrally finite division rings.

Keywords

Cite

@article{arxiv.1012.5745,
  title  = {Linear groups over a locally linear division ring},
  author = {Bui Xuan Hai and Mai Hoang Bien and Trinh Thanh Deo},
  journal= {arXiv preprint arXiv:1012.5745},
  year   = {2011}
}

Comments

11 pages

R2 v1 2026-06-21T17:04:47.557Z