Geodesic
VARIATIONS ON THOMPSON'S CHARACTER DEGREE THEOREM
Glasgow mathematical journal, Tome 44 (2002) no. 3, pp. 371-374

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

DOI

If P is a Sylow-p-subgroup of a finite p-solvable group G, we prove that G^\prime \cap \bf{N}_G(P) \subseteq {P} if and only if p divides the degree of every irreducible non-linear p-Brauer character of G. More generally if π is a set of primes containing p and G is π-separable, we give necessary and sufficient group theoretic conditions for the degree of every irreducible non-linear p-Brauer character to be divisible by some prime in π. This can also be applied to degrees of ordinary characters. 
Navarro, Gabriel; Wolf, Thomas. VARIATIONS ON THOMPSON'S CHARACTER DEGREE THEOREM. Glasgow mathematical journal, Tome 44 (2002) no. 3, pp. 371-374. doi: 10.1017/S0017089502030033
@article{10_1017_S0017089502030033,
     author = {Navarro, Gabriel and Wolf, Thomas},
     title = {VARIATIONS {ON} {THOMPSON'S} {CHARACTER} {DEGREE} {THEOREM}},
     journal = {Glasgow mathematical journal},
     pages = {371--374},
     year = {2002},
     volume = {44},
     number = {3},
     doi = {10.1017/S0017089502030033},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089502030033/}
}
TY  - JOUR
AU  - Navarro, Gabriel
AU  - Wolf, Thomas
TI  - VARIATIONS ON THOMPSON'S CHARACTER DEGREE THEOREM
JO  - Glasgow mathematical journal
PY  - 2002
SP  - 371
EP  - 374
VL  - 44
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089502030033/
DO  - 10.1017/S0017089502030033
ID  - 10_1017_S0017089502030033
ER  - 
%0 Journal Article
%A Navarro, Gabriel
%A Wolf, Thomas
%T VARIATIONS ON THOMPSON'S CHARACTER DEGREE THEOREM
%J Glasgow mathematical journal
%D 2002
%P 371-374
%V 44
%N 3
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089502030033/
%R 10.1017/S0017089502030033
%F 10_1017_S0017089502030033

Cité par Sources :