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- W2097943094 abstract "1. Introduction Let G be a finite group and let ψ be an (ordinary) irreducible character of a normal subgroup N . If ψ extends to a character of G then ψ is invariant under G , but the converse is false. In section 3 it is shown that if ψ extends coherently to the intermediate groups H for which H/N is elementary, then ψ extends to G . If N is a Hall subgroup, then in order for ψ to extend to G it is sufficient that ψ be invariant under G . This leads to a construction of the characters of G from the characters of N and the characters of the subgroups of G/N in this case." @default.
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- W2097943094 date "1962-12-01" @default.
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- W2097943094 title "Group Characters and Normal Hall Subgroups" @default.
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- W2097943094 doi "https://doi.org/10.1017/s0027763000023849" @default.
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