Geodesic
A Characteristic Subgroup of π-Stable Groups
Canadian journal of mathematics, Tome 26 (1974) no. 6, pp. 1509-1514

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

All groups in this paper are assumed to be finite. Let G be a group with op(G) ≠ 1 which is p-constrained and p-stable, p odd. If P is an Sp-subgroup of G, then by Glaubermaris Theorem, [3, 8.2.11], G = Op′ (G)NG (ZJ(P)). 
Arad, Zvi. A Characteristic Subgroup of π-Stable Groups. Canadian journal of mathematics, Tome 26 (1974) no. 6, pp. 1509-1514. doi: 10.4153/CJM-1974-146-6
@article{10_4153_CJM_1974_146_6,
     author = {Arad, Zvi},
     title = {A {Characteristic} {Subgroup} of {\ensuremath{\pi}-Stable} {Groups}},
     journal = {Canadian journal of mathematics},
     pages = {1509--1514},
     year = {1974},
     volume = {26},
     number = {6},
     doi = {10.4153/CJM-1974-146-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1974-146-6/}
}
TY  - JOUR
AU  - Arad, Zvi
TI  - A Characteristic Subgroup of π-Stable Groups
JO  - Canadian journal of mathematics
PY  - 1974
SP  - 1509
EP  - 1514
VL  - 26
IS  - 6
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1974-146-6/
DO  - 10.4153/CJM-1974-146-6
ID  - 10_4153_CJM_1974_146_6
ER  - 
%0 Journal Article
%A Arad, Zvi
%T A Characteristic Subgroup of π-Stable Groups
%J Canadian journal of mathematics
%D 1974
%P 1509-1514
%V 26
%N 6
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1974-146-6/
%R 10.4153/CJM-1974-146-6
%F 10_4153_CJM_1974_146_6

[1] 1. Arad, Z. and Glauberman, G., A characteristic subgroup of a group of odd order (to appear). Google Scholar

[2] 2. Glauberman, G., A characteristic subgroup of a p-stable group. Can. J. Math. 20 (1968), 1101–1135. Google Scholar

[3] 3. Gorenstein, D., Finite groups (Harper and Row, New York, 1968). Google Scholar

[4] 4. Feit, W. and Thompson, J. G., Solvability of groups of odd order, Pacific J. Math. 13 (1963) 775–1029. Google Scholar

[5] 5. Hall, P., Theorems like Sylow's, Proc. London Math. Soc. 6 (1956), 286–304. Google Scholar

[6] 6. Huppert, B., Endliche Gruppen, I (Springer-Verlag, New York, 1967). Google Scholar

[7] 7. Mann, A., Injectors of finite groups, Israel J. Math. 9 (1971), 554–558. Google Scholar

Cité par Sources :