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- W4206103434 abstract "We suppose throughout that G is a finite group with a faithful matrix representation X over the complex field. We suppose that X affords a character π of degree r whose values are rational (hence rational integers). If the matrices in some representation of G affording a character π 0 are all permutation matrices, then π 0 is called a permutation character. Permutation characters have non-negative integral values. In the general case, we consider what properties of permutation characters are true of π, and in particular, under what circumstances π is a permutation character. Note that assuming X to b faithful is equivalent to considering the image group X ( G ) instead of G ." @default.
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- W4206103434 date "1972-02-01" @default.
- W4206103434 modified "2023-09-26" @default.
- W4206103434 title "Permutation characters" @default.
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- W4206103434 doi "https://doi.org/10.1017/s1446788700010624" @default.
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