Proves new bounds on the number of parts of partitions corresponding to constituents of the Sylow 2-permutation character of S_n.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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2026 2verdicts
UNVERDICTED 2representative citing papers
Further refinements of the Itô-Michler theorem are proved, with the p'-degree condition restricted to p-rational characters lying above the principal character of a Sylow p-subgroup (or strongly real characters when p=2).
citing papers explorer
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Part bounds for the Sylow permutation characters of $S_n$
Proves new bounds on the number of parts of partitions corresponding to constituents of the Sylow 2-permutation character of S_n.
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Degrees of $p$-rational characters and normality of Sylow $p$-subgroups
Further refinements of the Itô-Michler theorem are proved, with the p'-degree condition restricted to p-rational characters lying above the principal character of a Sylow p-subgroup (or strongly real characters when p=2).