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math.RT2026
Primes and The Field of Values of Characters
Nguyen N. Hung, Gabriel Navarro, Pham Huu Tiep
Let be a prime. For , the fields of values of the complex irreducible characters of finite groups whose degrees are not divisible by have been classified; for odd prim…
math.RT2026
Hall -subgroups and characters of -degree
Eugenio Giannelli, Nguyen N. Hung
We study the relationship between the existence of Hall -subgroups and that of irreducible characters of -degree with prescribed fields of values in finite groups. This wo…