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math.GR2022
Group elements whose character values are roots of unity
Mark L. Lewis, Lucia Morotti, Hung P. Tong-Viet
We classify all finite groups which possesses an element such that every irreducible character of takes a root of unity value at .
math.RT2022
Irreducible spin representations of symmetric and alternating groups which remain irreducible in characteristic 3
Matthew Fayers, Lucia Morotti
For any finite group and any prime one can ask which ordinary irreducible representations remain irreducible in characteristic , or more generally, which representations…