On a conjecture of G. Malle and G. Navarro on Nilpotent Blocks

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Abstract

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.An of the alternating group An, thereby solving a case excluded from the study of quasi-simple groups by Malle and Navarro.
Original languageEnglish
Article numberP217
Number of pages14
JournalElectronic Journal of Combinatorics
Volume18
Issue number1
Publication statusPublished - 7 Nov 2011

Keywords

  • representation theory
  • symmetric group
  • covering groups
  • bar-partitions

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