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math.RT2026
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,…
math.RT2022
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…