%0 Journal Article
%T On Blocks with One Modular Character
%A Gunter Malle
%A Gabriel Navarro
%A Britta Sp£¿th
%J Mathematics
%D 2015
%I arXiv
%X 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.
%U http://arxiv.org/abs/1509.08268v1