TL;DR
This paper introduces a refined version of the McKay conjecture and provides a proof for symmetric groups, advancing understanding in group representation theory.
Contribution
It presents a new refinement of the McKay conjecture and proves it specifically for symmetric groups, a significant step in the field.
Findings
Refinement of the McKay conjecture proposed.
Proof of the refined conjecture for symmetric groups.
Enhances understanding of character degrees in symmetric groups.
Abstract
We propose a new refinement of the McKay conjecture and we prove it for symmetric groups.
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