Answer by Nicky Hekster for Characters of transitive finite permutation group
Derek is right, let $G$ act transitively on a set $\Omega$ and put $H=G_\alpha$, for some $\alpha \in \Omega$, then the permutation character $\pi=1_H^G$, the trivial character of $H$ induced to $G$....
View ArticleCharacters of transitive finite permutation group
I know that Frobenius reciprocity helps us to solve this problem, but I don't know why:Let $ G $ be a transitive finite permutation group with permutation character $ \pi $. If $\chi $ is an...
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