Asymptotics of commuting [Formula: see text] -tuples in symmetric groups and log-concavity
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Denote by N ℓ ( n ) the number of ℓ -tuples of elements in the symmetric group S n with commuting components, normalized by the order of S n . In this paper, we prove asymptotic formulas for N ℓ ( n ) . In addition, general criteria f... ...
