On subgroups in division rings of type $2$

Abstract

Let $D$ be a division ring with center $F$. We say that $D$ is a {\em division ring of type $2$} if for every two elements $x,y\in D,$ the division subring $F(x,y)$ is a finite dimensional vector space over $F$. In this paper we investigate multiplicative subgroups in such a ring.

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Cited by in corpus (1)

• Linear groups over a locally linear division ring