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math.GR2023
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…
math.GR2023
The blocks with five irreducible characters
J. Miquel Martínez, Noelia Rizo, Lucia Sanus
Let be a finite group, a prime and a Brauer -block of with defect group . We prove that if the number of irreducible ordinary characters in is then $D…
math.RT2023
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…