Finite groups with primitive Sylow normalizers
Bollettino della Unione matematica italiana, Série 8, 5B (2002) no. 1, pp. 235-245
We prove that are primitive the finite groups whose normalizers of the Sylow subgroups are primitive. We classify the groups of such class, denoted by $N\mathcal{P}$, and we study the Schunck classes whose boundary is contained in $N\mathcal{P}$. We give also necessary and sufficient conditions in order that the projectors be subnormally embedded.
@article{BUMI_2002_8_5B_1_a11,
author = {D'Aniello, A. and De Vivo, C. and Giordano, G.},
title = {Finite groups with primitive {Sylow} normalizers},
journal = {Bollettino della Unione matematica italiana},
pages = {235--245},
year = {2002},
volume = {Ser. 8, 5B},
number = {1},
zbl = {1072.20026},
mrnumber = {MR1881934},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BUMI_2002_8_5B_1_a11/}
}
TY - JOUR AU - D'Aniello, A. AU - De Vivo, C. AU - Giordano, G. TI - Finite groups with primitive Sylow normalizers JO - Bollettino della Unione matematica italiana PY - 2002 SP - 235 EP - 245 VL - 5B IS - 1 UR - http://geodesic.mathdoc.fr/item/BUMI_2002_8_5B_1_a11/ LA - en ID - BUMI_2002_8_5B_1_a11 ER -
D'Aniello, A.; De Vivo, C.; Giordano, G. Finite groups with primitive Sylow normalizers. Bollettino della Unione matematica italiana, Série 8, 5B (2002) no. 1, pp. 235-245. http://geodesic.mathdoc.fr/item/BUMI_2002_8_5B_1_a11/