Timeline for about subgroup of general linear group [closed]

11 events

when toggle format	what		by	license	comment
May 14, 2015 at 7:54	comment	added	Derek Holt		Yes, as explained in the answer by paul garrett, it is very easy to construct counterexamples.
May 14, 2015 at 6:04	comment	added	maryam		@Professor Holt. Thanks. For other finite fields and other integer $n$, $GL(n,q)$ there exist such a counterexample?
May 14, 2015 at 5:55	comment	added	maryam		@Alex. It is clear that $H_1$ and $h_2$ must be distinct.
May 13, 2015 at 23:58	history	closed	Alex Degtyarev Derek Holt Stefan Kohl♦ YCor Igor Rivin		Needs details or clarity
May 13, 2015 at 22:35	answer	added	paul garrett		timeline score: 0
May 13, 2015 at 22:29	comment	added	Stefan Kohl♦		I'm voting to close this question because it has been answered in a comment.
May 13, 2015 at 22:03	review	Close votes
May 14, 2015 at 0:02
May 13, 2015 at 21:58	comment	added	Derek Holt		The answer to the question is clearly yes, even if you assume $H_1 \ne H_2$. For example ${\rm GL}(4,2) \cong A_8$ and ${\rm GL}(2,4) \cong A_5 \times C_3$, and there are many possible intersections of pairs of subgroups isomorphic to ${\rm GL}(2,4)$.
May 13, 2015 at 21:44	comment	added	Alex Degtyarev		Where does this question come from? What if $H_1=H_2$? It seems that you assert that any single subgroup with your property is the center.
May 13, 2015 at 21:41	review	First posts
May 13, 2015 at 21:44
May 13, 2015 at 21:40	history	asked	maryam	CC BY-SA 3.0