2 citations · 3 across the 5 of their papers we have counts for
5 papers
Alperin's Main Problem of Block Theory
Alexander Moretó
This paper proposes a conjectural framework for Alperin's Main Problem of Block Theory from 1976. The character sets considered here are defined by nonvanishing at given elements,…
The codegree isomorphism problem for finite simple groups
Nguyen N. Hung, Alexander Moretó
We study the codegree isomorphism problem for finite simple groups. In particular, we show that such a group is determined by the codegrees (counting multiplicity) of its irreducib…
The average character degree of finite groups and Gluck's conjecture
Alexander Moretó
We prove that the order of a finite group with trivial solvable radical is bounded above in terms of , the average degree of the irreducible characters. It is not…
Methods and questions in character degrees of finite groups
Alexander Moretó
We present some variations on some of the main open problems on character degrees. We collect some of the methods that have proven to be very useful to work on these problems. Thes…
Groups with 2-generated Sylow subgroups and their character tables
Alexander Moretó, Benjamin Sambale
Let G be a finite group with Sylow p-subgroup P. We show that the character table of G determines whether P has maximal nilpotency class and whether P is a minimal non-abelian grou…