On Blocks with One Modular Character

2015/09/28 by Gunter Malle, Gabriel Navarro, Malle, Gunter +3 · 1 citation
Mathematics · #20C05 #20C20 #20C33 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT) #math.GR #math.RT #msc:20C05 #msc:20C20 #msc:20C33

paper · pdf · doi:10.48550/arxiv.1509.08268

arxiv created 2015/09/28 · arxiv updated 2015/09/29

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.

Cited by

• Blocks with only one irreducible Brauer character orbit

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