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On subgroups in division rings of type $2$

Published 6 Jul 2010 in math.RA | (1007.0791v2)

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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