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A note on the Navarro conjecture for alternating groups with abelian defect

Representation Theory 2010-08-18 v3 Group Theory

Abstract

In [7], G. Navarro proposed a refinement of the McKay conjecture involving a special class of Galois automorphisms. In [6] this new conjecture was verified by the author for the alternating groups A(n) when p=2. In this note the Navarro conjecture is verified for the p-singular characters of the principal block of the alternating groups in the case of abelian defect when p is odd.

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Cite

@article{arxiv.0906.1820,
  title  = {A note on the Navarro conjecture for alternating groups with abelian defect},
  author = {Rishi Nath},
  journal= {arXiv preprint arXiv:0906.1820},
  year   = {2010}
}

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