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

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

2009-06-09

arxiv.org/abs/0906.1820v3

Mathematics

Representation Theory

Previous title:A Special Case of the Navarro conjecture

Scientific paper

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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