E. Giannelli

collaborators

6 papers

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…

math.RT2025

Degrees and prime power order zeros of characters of symmetric and alternating groups

Eugenio Giannelli, Stacey Law, Eoghan McDowell

We show that the $p$ -part of the degree of an irreducible character of a symmetric group is completely determined by the set of vanishing elements of $p$ -power order. As a corollar…

math.GR2025

On the number and sizes of double cosets of Sylow subgroups of the symmetric group

Persi Diaconis, Eugenio Giannelli, Robert M. Guralnick +4

Let $P_{n}$ be a Sylow $p$ -subgroup of the symmetric group $S_{n}$ . We investigate the number and sizes of the $P_{n} ∖ S_{n} / P_{n}$ double cosets, showing that most double cosets…

math.RT2025

Sylow branching trees for symmetric groups

Eugenio Giannelli, Stacey Law

Let $p \geq 5$ be a prime and let $P$ be a Sylow $p$ -subgroup of a finite symmetric group. To every irreducible character of $P$ we associate a collection of labelled, complete $p$ -a…

Cyclotomic character fields and sets of primes

McKay bijections and character degrees

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

Degrees and prime power order zeros of characters of symmetric and alternating groups

On the number and sizes of double cosets of Sylow subgroups of the symmetric group

Sylow branching trees for symmetric groups

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