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arXiv · 1707.02846

Alperin-McKay natural correspondences in solvable and symmetric groups for the prime $p=2$

Eugenio Giannelli·John Murray·Joan Tent
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Abstract

Let $G$ be a finite solvable or symmetric group and let $B$ be a $2$-block of $G$. We construct a canonical correspondence between the irreducible characters of height zero in $B$ and those in its Brauer first main correspondent. For symmetric groups our bijection is compatible with restriction of characters.

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Eugenio Giannelli, John Murray, Joan Tent. 2017-07-10. Alperin-McKay natural correspondences in solvable and symmetric groups for the prime $p=2$. https://arxiv.org/abs/1707.02846

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