S-characters need not vanish on prime-power-order elements, providing counterexamples that answer Serre's question about generalization from transitive permutation characters.
Serre , Z´ eros de caract` eres
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Zeros of $S$-characters
S-characters need not vanish on prime-power-order elements, providing counterexamples that answer Serre's question about generalization from transitive permutation characters.