A Note on Partition-Inducing Automorphism Groups
Canadian mathematical bulletin, Tome 27 (1984) no. 2, pp. 157-159

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

DOI

We consider a finite group G with a group A acting on it in such a way as to induce a partition of G # (a situation which arises in the study of centralizer near-rings). With the additional hypothesis that (|A ω|, |G|) = 1, it is shown that either A is semiregular on G # or G is an irreducible module for A.
DOI : 10.4153/CMB-1984-024-x
Mots-clés : 20D99, 16A76
Pettet, Martin R. A Note on Partition-Inducing Automorphism Groups. Canadian mathematical bulletin, Tome 27 (1984) no. 2, pp. 157-159. doi: 10.4153/CMB-1984-024-x
@article{10_4153_CMB_1984_024_x,
     author = {Pettet, Martin R.},
     title = {A {Note} on {Partition-Inducing} {Automorphism} {Groups}},
     journal = {Canadian mathematical bulletin},
     pages = {157--159},
     year = {1984},
     volume = {27},
     number = {2},
     doi = {10.4153/CMB-1984-024-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-024-x/}
}
TY  - JOUR
AU  - Pettet, Martin R.
TI  - A Note on Partition-Inducing Automorphism Groups
JO  - Canadian mathematical bulletin
PY  - 1984
SP  - 157
EP  - 159
VL  - 27
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-024-x/
DO  - 10.4153/CMB-1984-024-x
ID  - 10_4153_CMB_1984_024_x
ER  - 
%0 Journal Article
%A Pettet, Martin R.
%T A Note on Partition-Inducing Automorphism Groups
%J Canadian mathematical bulletin
%D 1984
%P 157-159
%V 27
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-024-x/
%R 10.4153/CMB-1984-024-x
%F 10_4153_CMB_1984_024_x

Cité par Sources :