3 citations · 10 across the 7 of their papers we have counts for
7 papers
On the degrees of irreducible characters fixed by some field automorphism in finite groups
N. Grittini
We prove a variant of the Theorem of Ito-Michler, investigating the properties of finite groups where a prime number does not divide the degree of any irreducible character lef…
Odd-degree rational characters and the order of rational elements in finite groups
N. Grittini
We prove that, in a finite group, if every rational irreducible character has odd degree, then all rational elements are 2-elements, as it was originally conjectured by Tiep and To…
Sylow normalizers and irreducible characters with small cyclotomic field of values
Nicola Grittini, Marco Antonio Pellegrini
In this paper, we prove the existence of a relation between the prime divisors of the order of a Sylow normalizer and the degree of characters having values in some small cyclotomi…
On the degrees of irreducible characters fixed by some field automorphism, p-solvable groups
Nicola Grittini
It is known that, if all the real-valued irreducible characters of a finite group have odd degree, then the group has normal Sylow -subgroup. We generalize this result for Sylow…
Character degrees in -separable groups
N. Grittini
If a group is -separable, where is a set of primes, the set of irreducible characters can be defined. In this paper…
A note on cut groups of odd order
Nicola Grittini
A group is said to be cut if, for every , each generator of is conjugated to either or . It is conjectured that a Sylow 3-subgroup of a c…
On zeros of irreducible characters lying in a normal subgroup
M. J. Felipe, N. Grittini, V. Sotomayor
Let be a normal subgroup of a finite group . In this paper, we consider the elements of such that for all irreducible characters of . Such an ele…