Invariants from Dijkgraaf-Witten TQFT on higher-genus surfaces yield new criteria detecting commutativity, nilpotency, supersolvability, and solvability of finite groups via irreducible character degrees.
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On the invariants of finite groups arising in a topological quantum field theory
Invariants from Dijkgraaf-Witten TQFT on higher-genus surfaces yield new criteria detecting commutativity, nilpotency, supersolvability, and solvability of finite groups via irreducible character degrees.