Geodesic
On P. Hall's Generalisation of a Theorem of Frobenius
Glasgow mathematical journal, Tome 5 (1962) no. 3, pp. 97-100

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

1. It is a well known theorem due to Frobenius that the number of solutions of the equationXn = 1in a finite group G, is a multiple of the greatest common divisor (n, g) of n and the order g of G. Frobenius himself proved later that the number of solutions of the equationXn = awhere a is a fixed element of G, is a multiple of (n, ga), ga being the order of the centralizer Z(a) of ain G. 
Sehgal, S. K. On P. Hall's Generalisation of a Theorem of Frobenius. Glasgow mathematical journal, Tome 5 (1962) no. 3, pp. 97-100. doi: 10.1017/S2040618500034390
@article{10_1017_S2040618500034390,
     author = {Sehgal, S. K.},
     title = {On {P.} {Hall's} {Generalisation} of a {Theorem} of {Frobenius}},
     journal = {Glasgow mathematical journal},
     pages = {97--100},
     year = {1962},
     volume = {5},
     number = {3},
     doi = {10.1017/S2040618500034390},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S2040618500034390/}
}
TY  - JOUR
AU  - Sehgal, S. K.
TI  - On P. Hall's Generalisation of a Theorem of Frobenius
JO  - Glasgow mathematical journal
PY  - 1962
SP  - 97
EP  - 100
VL  - 5
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S2040618500034390/
DO  - 10.1017/S2040618500034390
ID  - 10_1017_S2040618500034390
ER  - 
%0 Journal Article
%A Sehgal, S. K.
%T On P. Hall's Generalisation of a Theorem of Frobenius
%J Glasgow mathematical journal
%D 1962
%P 97-100
%V 5
%N 3
%U http://geodesic.mathdoc.fr/articles/10.1017/S2040618500034390/
%R 10.1017/S2040618500034390
%F 10_1017_S2040618500034390

[1] 1.Hall, P., On a theorem of Frobenius, Proc. London Math. Soc. 40 (1936), 468–501. Google Scholar | DOI

[2] 2.Prokofyev, A. N., On the fundamental theorem of Frobenius, Doklady Akad. Nauk SSSR (N.S.) 65 (1949), 801–804. Google Scholar

Cité par Sources :