E. Giannelli

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20242026

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math.RT2026

Cyclotomic character fields and sets of primes

Eugenio Giannelli, J. Miquel MartÃnez, Carolina Vallejo

Let $I ¨ = {2, q}$ where $q$ is an odd prime. Let $G$ be a finite group of order divisible by a prime $p \in I ¨ $ . We show that the principal $p$ -block of $G$ contains a nontrivial…

math.RT2026

McKay bijections and character degrees

Eugenio Giannelli

We propose a new refinement of the McKay conjecture and we prove it for symmetric groups.

math.RT2026

Hall $I ¨ $ -subgroups and characters of $I ¨ ^{'}$ -degree

Eugenio Giannelli, Nguyen N. Hung

We study the relationship between the existence of Hall $I ¨ $ -subgroups and that of irreducible characters of $I ¨ ^{'}$ -degree with prescribed fields of values in finite groups. This wo…

Cyclotomic character fields and sets of primes

McKay bijections and character degrees

Hall I¨-subgroups and characters of I¨′-degree

Hall $I ¨ $ -subgroups and characters of $I ¨ ^{'}$ -degree