On Thu, Apr 17, 2008 at 1:42 AM, Dan Lanke <[EMAIL PROTECTED]> wrote: > > Dear GAP Forum, > > Let H be a normal subgroup of a finite group G. > Let \rho be a G-invariant linear character of H. > Is it true that there exists a linear character > of G whose restriction to H is equal to \rho? > > If the answer is no, how can I use GAP to find > some examples?
Dear Dan, I think that the answer is "no". If H is the center (of order 2) of the group G = SL(2,5) and \rho is the nontrivial character of H, then \rho is G-invariant but is not the restriction to H of any linear character of G, because G has only one linear character (the trivial one). I do not know how to use GAP to find such examples. Anvita _______________________________________________ Forum mailing list [email protected] http://mail.gap-system.org/mailman/listinfo/forum
