Degrees and rationality of characters in the principal block of An

Degrees and rationality of characters in the principal block of An

Given two primes p and q , we study degrees and rationality of irreducible characters in the principal p -block of S n and A n , the symmetric and alternating groups. In particular, we show that such a block always admits an irreducible character of degree divisible by q . This extends and generaliz...

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Veröffentlicht in:Archiv der Mathematik 2021-02, Vol.116 (2), p.161-170
Hauptverfasser: Giannelli, Eugenio, Meini, Elena
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Mathematics and Statistics
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description Given two primes p and q , we study degrees and rationality of irreducible characters in the principal p -block of S n and A n , the symmetric and alternating groups. In particular, we show that such a block always admits an irreducible character of degree divisible by q . This extends and generalizes a recent result of Giannelli–Malle–Vallejo.
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Mathematics and Statistics
title Degrees and rationality of characters in the principal block of An
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