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May 14, 2015 at 6:11 comment added maryam I do not understand your statement. In general $GL_n(F)$ have subgroups isomorphic with $GL_r(F')$ and are distinct. For all $r$ and $n$ and for every pair of such subgroups, intersection is trivial or not?
May 13, 2015 at 23:37 history edited paul garrett CC BY-SA 3.0
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May 13, 2015 at 22:35 history answered paul garrett CC BY-SA 3.0