On subgroups in division rings of type $2$

Details On subgroups in division rings of type $2$ On subgroups in division rings of type $2$

2010-07-06

arxiv.org/abs/1007.0791v1

Mathematics

Rings and Algebras

9 pages, 0 figures

Scientific paper

Let $D$ be a division ring with the 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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