Shahrood University of Technology Journal of Algebraic Systems 2345-5128 14 3 2026 06 01 TORSION MAXIMAL SUBGROUPS OF GLn(D) 477 488 3824 10.22044/jas.2025.14465.1831 EN Reza Fallah-Moghaddam Department of Mathematics Education, Farhangian University, P.O. Box 14665-889, Tehran, Iran. Journal Article 2024 04 26 Let D be a division ring over its center F. Let<br />GLn(D)<br />be the general linear group over D. In this article we prove that<br />if<br />GLn(D)<br />contains a maximal torsion subgroup M then D = F,<br />Fp<br />charF = p > 0 and F is algebraic over its prime sub eld<br />when-<br />ever one of the following conditions occurs: (1) D is algebraic over<br />F; (2) there exists an element a<br />2<br />M such that<br />CMn(D)(F[a])<br />is<br />algebraic over F. Division ring Maximal subgroup, Subnormal subgroup, Torsion subgroup https://jas.shahroodut.ac.ir/article_3824_2344112b1982103da7a4c45984968a14.pdf