Dear Forum, Just a very brief note on one remark:
> Essentially, all I am trying to do is find a triple of conjugacy classes > (that are rational) such that a triple (g_1, g_2, g_3) of elements satisfies > the rigidity condition of Thompson to realize the group M11 as Galois over Q. My understanding (for details see the Book on representation theory by Lux and Pahlings, and ultimately — as they refer to it — the book by Malle and Matzat) is that the rigidity criterion only realizes M11 over a number field and further work is needed to obtain a rational realization from this. Regards, Alexander Hulpke > > I am very much appreciative for all your help, > > > John > > > [https://cdn.sstatic.net/Sites/math/img/apple-touch-i...@2.png?v=4ec1df2e49b1]<https://math.stackexchange.com/questions/218302/a-conjugacy-class-c-is-rational-iff-cn-in-c-whenever-c-in-c-and-n-is-co> > > A conjugacy class $C$ is rational iff $c^n\\in C$ whenever > ...<https://math.stackexchange.com/questions/218302/a-conjugacy-class-c-is-rational-iff-cn-in-c-whenever-c-in-c-and-n-is-co> > math.stackexchange.com > Let $C$ be a conjugacy class of the finite group $G$. Say that $C$ is > rational if for each character $\chi: G \rightarrow \mathbb C$ of $G$, for > each $c\in C$, we ... > > > > > Sent from Outlook<http://aka.ms/weboutlook> > _______________________________________________ > Forum mailing list > Forum@mail.gap-system.org > http://mail.gap-system.org/mailman/listinfo/forum _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum
