Height Zero Conjecture with Galois Automorphisms
Representation Theory
2022-09-20 v1 Group Theory
Abstract
We prove a strengthening of Brauer's height zero conjecture for principal 2-blocks with Galois automorphisms. This requires a new extension of the It\^o--Michler theorem for the prime~2, again with Galois automorphisms. We close, this time for odd primes , with a new characterisation of -closed groups via the decomposition numbers of certain characters.
Cite
@article{arxiv.2209.08798,
title = {Height Zero Conjecture with Galois Automorphisms},
author = {Gunter Malle and Gabriel Navarro},
journal= {arXiv preprint arXiv:2209.08798},
year = {2022}
}
Comments
to appear in J. London Math. Soc