 P-adic valuation of a symmetric-group character degree from the core tower

ID: p-adic-valuation-of-a-symmetric-group-character-degree-from-the-core-tower

n = ∣ λ ∣

and

d_{p} (n)

is its base-

p

v_{p} (χ^{λ} (1)) = \frac{\sum _{r \geq 0} ∣ T C _{p} ( λ ) _{r} ∣ - d _{p} ( n )}{p - 1} .

q_{r} = c_{r} + p q_{r + 1}

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