Cecil Andrew Ellard
Published 2019-05-17Version 1
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.
A characterization of certain finite groups of odd order
Breaking points in the poset of conjugacy classes of subgroups of a finite group
On finite $PσT$-groups
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