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arXiv · 1509.08268

On Blocks with One Modular Character

Gunter Malle·Gabriel Navarro·Britta Späth
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Abstract

Suppose that $B$ is a Brauer $p$-block of a finite group $G$ with a unique modular character $\varphi$. We prove that $\varphi$ is liftable to an ordinary character of $G$ (which moreover is $p$-rational for odd $p$). This confirms the basic set conjecture for these blocks.

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Gunter Malle, Gabriel Navarro, Britta Späth. 2015-09-28. On Blocks with One Modular Character. https://arxiv.org/abs/1509.08268

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