On a conjecture of G. Malle and G. Navarro on nilpotent blocks

Details On a conjecture of G. Malle and G. Navarro on nilpotent blocks On a conjecture of G. Malle and G. Navarro on nilpotent blocks

2010-11-11

arxiv.org/abs/1011.2789v2

Mathematics

Representation Theory

Scientific paper

In a recent article, G. Malle and G. Navarro conjectured that the $p$-blocks of a finite group all of whose height 0 characters have the same degree are exactly the nilpotent blocks defined by M. Brou\'e and L. Puig. In this paper, we check that this conjecture holds for spin-blocks of the covering group $2.\A_n$ of the alternating group $\A_n$, thereby solving a case excluded from the study of quasi-simple groups by Malle and Navarro.

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