Quasi-isolated blocks and Brauer’s height zero conjecture

By Radha Kessar, Gunter Malle. 2011

154 citations recorded by the source corpus.

This paper has two main results. Firstly, we complete the parametrisation of all p-blocks of nite quasi-simple groups by nding the so-called quasi-isolated blocks of exceptional groups of Lie type for bad primes. This relies on the explicit decomposition of Lusztig induction from suitable Levi subgroups. Our second major result is the proof of one direction of Brauer’s long-standing height zero conjecture on blocks of nite groups, using the

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/af264df736edffeeef4a09908b2d66e286995e42

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In Discrete Mathematics and Combinatorics

In Geometry and Topology

In Mathematical Physics

Citations in the corpus

Brauer's Height Zero Conjecture (2022, methodology): “Also by assumption, b has abelian defect, and hence all characters in Irr( b ) possess height zero by the main result of [27].”