Author:
Malle Gunter,Navarro Gabriel,Späth Britta
Abstract
Abstract
Suppose that B is a Brauer p-block of a finite group G with a unique
modular character φ. We prove that φ 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.
Subject
Applied Mathematics,General Mathematics
Cited by
4 articles.
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1. Groups of p-central type;Mathematische Zeitschrift;2023-11-24
2. Decomposition matrices over unitriangulars;Journal of Algebra;2023-04
3. Height zero conjecture with Galois automorphisms;Journal of the London Mathematical Society;2022-12-02
4. Brauer correspondent blocks with one simple module;Transactions of the American Mathematical Society;2018-08-09