• Corpus ID: 251718679

Zeros and roots of unity in character tables

@inproceedings{Miller2020ZerosAR,
  title={Zeros and roots of unity in character tables},
  author={Alexander R. Miller},
  year={2020}
}
. For any finite group G , Thompson proved that, for each χ ∈ Irr( G ), χ ( g ) is a root of unity or zero for more than a third of the elements g ∈ G , and Gallagher proved that, for each larger than average class g G , χ ( g ) is a root of unity or zero for more than a third of the irreducible characters χ ∈ Irr( G ). We show that in many cases “more than a third” can be replaced by “more than half”. 

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