Geodesic
A Note on Brauer Character Degrees of Solvable Groups
Canadian mathematical bulletin, Tome 34 (1991) no. 3, pp. 423-425

Voir la notice de l'article provenant de la source Cambridge University Press

Let G be a finite solvable group. Fix a prime integer p and let t be the number of distinct degrees of irreducible Brauer characters of G with respect to the prime p. We obtain the bound 3t — 2 for the derived length of a Hall p' -subgroup of G. Furthermore, if |G| is odd, then the derived length of a Hall p' -subgroup of G isbounded by /.
DOI : 10.4153/CMB-1991-068-2
Mots-clés : 20C20 
Wang, You-Qiang. A Note on Brauer Character Degrees of Solvable Groups. Canadian mathematical bulletin, Tome 34 (1991) no. 3, pp. 423-425. doi: 10.4153/CMB-1991-068-2
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