E. Giannelli

activity

20122026

most citedCharacters of odd degree of symmetric groups

31 citations · 54 across the 28 of their papers we have counts for

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32 papers · 1 filter

math.RT2026

Cyclotomic character fields and sets of primes

Eugenio Giannelli, J. Miquel Martínez, Carolina Vallejo

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

math.RT2026

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

Eugenio Giannelli, Nguyen N. Hung

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

math.RT2025

McKay bijections and character degrees

Eugenio Giannelli

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

math.RT2025★ 1 cited

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.RT2024

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…

math.RT2023

Sylow branching coefficients and hook partitions

Eugenio Giannelli, Giada Volpato

We give a description of the irreducible constituents of the restriction to Sylow 2-subgroups of irreducible characters of symmetric groups labelled by hook partitions.