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- W2898022267 abstract "Let $G$ be a finite group, $H$ be a normal subgroup of prime index $p$. Let $F$ be a field of either characteristic $0$ or prime to $|G|$. Let $eta$ be an irreducible $F$-representation of $H$. If $F$ is an algebraically closed field of characteristic either $0$ or prime to $|G|$, then the induced representation $eta uparrow^{G}_{H}$ is either irreducible or a direct sum of $p$ pairwise inequivalent irreducible representations. In this paper, we show that if $F$ is not assumed algebraically closed field, then there are five possibilities in the decomposition of induced representation into irreducible representations." @default.
- W2898022267 created "2018-10-26" @default.
- W2898022267 creator A5040631447 @default.
- W2898022267 date "2018-10-06" @default.
- W2898022267 modified "2023-09-27" @default.
- W2898022267 title "Representations induced from a normal subgroup of prime index" @default.
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