5 papers
Primes and The Field of Values of Characters
Nguyen N. Hung, Gabriel Navarro, Pham Huu Tiep
Let be a prime. For , the fields of values of the complex irreducible characters of finite groups whose degrees are not divisible by have been classified; for odd prim…
Adjoint and duality for rank-metric codes in a skew polynomial framework
José Gómez-Torrecillas, F. J. Lobillo, Gabriel Navarro +1
Skew polynomial rings provide a fundamental example of noncommutative principal ideal domains. Special quotients of these rings yield matrix algebras that play a central role in th…
Character Values of -solvable groups on picky elements
Alexander Moretó, Gabriel Navarro, Noelia Rizo
A new conjecture on characters of finite groups, related to the McKay conjecture, was proposed recently by the first and third authors. In this paper, we prove it for -solvable…
Sum of the squares of the -character degrees
Nguyen N. Hung, J. Miquel Martínez, Gabriel Navarro
We study the sum of the squares of the irreducible character degrees not divisible by some prime , and its relationship with the the corresponding quantity in a -Sylow normal…
-groups and zeros of characters
Alexander Moretó, Gabriel Navarro
Fix a prime and an integer . Among the non-linear irreducible characters of the -groups of order , what is the minimum number of elements that take the value 0…