Title: Rational Groups and a Characterization of a Class of Permutation Groups.
Abstract: We prove that a finite group is rational if and only if it has a set of permutation characters which separate conjugacy classes. It follows from this that a finite group is rational if and only if it has a representation as a permutation group in which any two elements fixing the same number of letters are conjugate.
Publication Year: 2019
Publication Date: 2019-05-17
Language: en
Type: preprint
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Cited By Count: 2
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