Carolina Vallejo

activity

20172026

most citedGalois action on the principal block and cyclic Sylow subgroups

16 citations · 18 across the 8 of their papers we have counts for

collaborators

12 papers

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.GR2024

Characters and Sylow $3$ -subgroup abelianization

Eugenio Giannelli, Noelia Rizo, A. A. Schaeffer Fry +1

We characterize when a finite group G possesses a Sylow 3-subgroup P with abelianization of order 9 in terms of the number of height zero characters lying in the principal 3-block…

math.RT2024★ 1 cited

On almost $p$ -rational characters in principal blocks

Attila Maróti, J. Miquel Martínez, A. A. Schaeffer Fry +1

Let p be a prime. In this paper we provide a lower bound for the number of almost p-rational characters of degree coprime to p in the principal p-block of a finite group of order d…

math.GR2023

The Field of Values of the Height Zero Characters

Gabriel Navarro, Lucas Ruhstorfer, Pham Huu Tiep +1

We determine what are the fields of values of the irreducible $p$ -height zero characters of all finite groups for $p = 2$ ; we conjecture what they should be for odd primes, and reduc…

math.RT2023★ 1 cited

Principal blocks with six ordinary irreducible characters

Nguyen N. Hung, A. A. Schaeffer Fry, Carolina Vallejo

We classify Sylow $p$ -subgroups of finite groups whose principal $p$ -blocks have precisely six ordinary irreducible characters.

math.RT2021

Sylow branching coefficients and a conjecture of Malle and Navarro

Eugenio Giannelli, Stacey Law, Jason Long +1

We prove that a finite group $G$ has a normal Sylow $p$ -subgroup $P$ if, and only if, every irreducible character of $G$ appearing in the permutation character $(1_{P})^{G}$ with…

math.GR2020

Principal blocks with 5 irreducible characters

Noelia Rizo, Amanda Schaeffer Fry, Carolina Vallejo

We show that if the principal p-block of a finite group G contains exactly 5 irreducible ordinary characters, then a Sylow p-subgroup of G has order 5, 7 or is isomorphic to one of…

math.RT2019★ 16 cited

Galois action on the principal block and cyclic Sylow subgroups

Noelia Rizo, A. A. Schaeffer Fry, Carolina Vallejo

We characterize finite groups having a cyclic Sylow p-subgroup in terms of the action of a specific Galois automorphism on the principal p-block for p=2,3. We show that the analog…

math.RT2019

A reduction theorem for the Galois-McKay conjecture

Gabriel Navarro, Britta Späth, Carolina Vallejo

We generalize the theory of ordering character triples, developed by Navarro and Späth, by taking into account the action of Galois automorphisms on characters. This new technique,…

math.RT2019

Characters of $π^{'}$ -degree

Eugenio Giannelli, Mandi Schaeffer Fry, Carolina Vallejo

Let $G$ be a finite group and let $π$ be a set of primes. Write $Irr_{π^{'}} (G)$ for the set of irreducible characters of degree not divisible by any prime in $π$ . We show th…

math.RT2018

Brauer correspondent blocks with one simple module

Gabriel Navarro, Pam Huu Tiep, Carolina Vallejo

One of the main problems in representation theory is to understand the exact relationship between Brauer corresponding blocks of finite groups. The case where the local corresponde…

math.RT2017

Even degree characters in principal blocks

Eugenio Giannelli, Gunter Malle, Carolina Vallejo

We characterise finite groups such that for an odd prime $p$ all the irreducible characters in its principal $p$ -block have odd degree. We show that this situation does not occur i…