The sparsity of character tables of high rank groups of Lie type

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Michael J. Larsen , Alexander R. Miller This is my paper · ORCID

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keywords charactergroupshighranktypeentriesfinitefraction

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In the high rank limit, the fraction of non-zero character table entries of finite simple groups of Lie type goes to zero.

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Congruences in character tables of symmetric groups
math.CO 2019-08 accept novelty 7.0 of 10

For partitions λ and μ of the same integer, replacing each square by d^2 squares makes the character value χ_{λ̲}(μ̲) divisible by d!.