McKay bijections and decomposition numbers

2025/05/04 by David Cabrera-Berenguer, Cabrera-Berenguer, David
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Combinatorial Mathematics #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.2505.01965

Abstract

If G is p-solvable, we prove that there exists a McKay bijection that respects the decomposition numbers d_χφ, whenever φ is linear.

Citations

• McKay bijections and character degrees
• The McKay Conjecture on character degrees
• New refinements of the McKay conjecture for arbitrary finite groups

Related

• McKay bijections and character degrees
• A Divisibility Problem in the McKay Conjecture
• A new generalization of the McKay conjecture for p-solvable groups
• Remarks on the McKay Conjecture
• Hilbert schemes of points via McKay correspondences