Re: General Linear Group GLn _ Problem from Artin's Chapter on Linear Groups
Originally Posted by Bernhard
Can anyone help with the following problem from Artin - Algebra Ch9 on Linear Groups.
Is ( ) isomorphic to a subgroup of ( )?
How do I approach proving this one way or the other?
Peter
Perhaps a more conceptual way of looking at it, if that kind of thing makes you happy, is that if are isomorphic vector spaces then are isomorphic groups. Now, evidently so that as real vector spaces, and so .
Re: General Linear Group GLn _ Problem from Artin's Chapter on Linear Groups
Originally Posted by Drexel28
Perhaps a more conceptual way of looking at it, if that kind of thing makes you happy, is that if are isomorphic vector spaces then are isomorphic groups. Now, evidently so that as real vector spaces, and so .