On linear groups over weakly locally finite division rings
Rings and Algebras
2013-05-21 v1
Abstract
In this paper, we give the definition of {\em weakly locally finite} division rings and we show that the class of these rings strictly contains the class of locally finite division rings. Further, we study multiplicative subgroups in these rings. Some skew linear groups are also considered. Our new obtained results generalize previous results for centrally finite case.
Cite
@article{arxiv.1305.4423,
title = {On linear groups over weakly locally finite division rings},
author = {Bui Xuan Hai and Mai Hoang Bien and Trinh Thanh Deo},
journal= {arXiv preprint arXiv:1305.4423},
year = {2013}
}
Comments
13 pages; accepted for publication in Algebra Colloquium