The paper proposes a delta-invariant encoding of element orders, class sizes, and character degrees that unifies characterization results for finite simple and related groups.
Alavi, On groups with the same character degrees as almost simple groups with socle small Ree groups, Commun
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Arithmetic invariants for finite simple and related groups
The paper proposes a delta-invariant encoding of element orders, class sizes, and character degrees that unifies characterization results for finite simple and related groups.