On the number of characters in blocks of quasi-simple groups

2018/04/02 by Malle, Gunter · 1 citation
#20C15 #20C33 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1804.00715

Abstract

We prove, for primes p≥5, two inequalities between the fundamental invariants of Brauer p-blocks of finite quasi-simple groups: the number of characters in the block, the number of modular characters, the number of height zero characters, and the number of conjugacy classes of a defect group and of its derived subgroup. For this, we determine these invariants explicitly, or at least give bounds for them for several classes of classical groups.

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• Characters and the Generation of Sylow 3-Subgroups For Almost Simple Groups

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