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Rational Groups and a Characterization of a Class of Permutation Groups

Published 17 May 2019 in math.GR | (1905.07431v1)

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.

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Authors (1)

  1. Cecil Andrew Ellard 

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