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Tryggvi Þórhallsson Primeiro-ministro de  Islândia Período 28 de agosto de 1927 - 3 de junho de 1928 Antecessor Jón Þorláksson Sucessor Ásgeir Ásgeirsson Dados pessoais Nascimento 9 de fevereiro de 1889 Reikjavik, Islândia Morte 31 de julho de 1935 (46 anos) Partido Framsóknarflokkurinn Profissão professor e político

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2 0 $begingroup$ Let $G$ be a finite group, $H$ a subgroup and $N$ a normal subgroup. Let $chi$ be a representation of $HN/N$. Does $$Ind_{HN}^G Inf_{HN/N}^{HN} chi = Inf_{G/N}^G Ind_{HN/N}^{G/N} chi$$ always hold? Here $Ind$ and $Inf$ are the induction and inflation functors. If this isn't true, are there any simple sufficient conditions for it to hold (possibly with a sketch proof/reference)? reference-request finite-groups representation-theory share | cite | improve this question asked Feb 9 '17 at 14:33 Matt B Matt B 2,828 1 6 16