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math.RT2026
Cyclotomic character fields and sets of primes
Eugenio Giannelli, J. Miquel Martínez, Carolina Vallejo
Let where is an odd prime. Let be a finite group of order divisible by a prime . We show that the principal -block of contains a nontrivial i…
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 work…