On the radicality of maximal subgroups in GLn(D)

A division ring D is weakly locally finite if for every finite subset S of D the division subring of D generated by S is centrally finite. We previously introduced this notion [Bui Xuan Hai, Mai Hoang Bien, Trinh Thanh Deo, On linear groups over weakly locally finite division rings, Algebra Colloq., in press] and proved that the class of weakly locally finite division rings strictly contains the class of locally finite division rings. In this paper, for a weakly locally finite division ring D, we investigate the structure of maximal subgroups of GLn(D) that are radical over the center of D. Our results generalize previous results pertaining to the centrally finite case.