5 citations · 7 across the 7 of their papers we have counts for
7 papers
A generalized character associated to element orders
Alexander Moretó
Let be a finite group. We study the generalized character defined by , for , which is closely related to a function that has been very studied recently fr…
Kernels of minimal characters of solvable groups
Alexander Moretó
Let be a finite solvable group. We prove that if has odd degree and is the minimal degree of the non-linear irreducible characters of , then $G/{\r…
Brauer's problem 21 for principal blocks
Alexander Moretó, Noelia Rizo, A. A. Schaeffer Fry
Problem 21 of Brauer's list of problems from 1963 asks whether for any positive integer k there are finitely many isomorphism classes of groups that occur as the defect group of a…
Prime divisors and the number of conjugacy classes of finite groups
Thomas Michael Keller, Alexander Moretó
We prove that there exists a universal constant such that if is a prime divisor of the index of the Fitting subgroup of a finite group , then the number of conjugacy cla…
Minimal heights and defect groups with two character degrees
Gunter Malle, Alexander Moretó, Noelia Rizo
Conjecture A of \cite{EM14} predicts the equality between the smallest positive height of the irreducible characters in a -block of a finite group and the smallest positive heig…
Common zeros of irreducible characters
Nguyen N. Hung, Alexander Moretó, Lucia Morotti
We study the zero-sharing behavior among irreducible characters of a finite group. For symmetric groups , it is proved that, with one exception, any two irreducible characters…
-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…