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arXiv · 1804.00715

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

Gunter Malle
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Abstract

We prove, for primes $p\ge5$, 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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Gunter Malle. 2018-04-02. On the number of characters in blocks of quasi-simple groups. https://arxiv.org/abs/1804.00715

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