Geodesic
Extensions of Endomorphisms from the Higher Centres
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 1250-1258

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

If 0 → A → C → B → 0 is an exact sequence of abelian groups, if ƒ is a 2-cocyle for this extension, if α ∈ End A, and if β ∈ End B, then a necessary and sufficient condition that α extend to an endomorphism γ of C which induces β is that (M) αƒ and ƒβ be cohomologous ; see Montgomery (2). We shall extend this result to the case where 1 → A → G → B → 1 is an exact sequence of groups and A is abelian. 
Haimo, Franklin. Extensions of Endomorphisms from the Higher Centres. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 1250-1258. doi: 10.4153/CJM-1967-114-x
@article{10_4153_CJM_1967_114_x,
     author = {Haimo, Franklin},
     title = {Extensions of {Endomorphisms} from the {Higher} {Centres}},
     journal = {Canadian journal of mathematics},
     pages = {1250--1258},
     year = {1967},
     volume = {19},
     number = {1},
     doi = {10.4153/CJM-1967-114-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1967-114-x/}
}
TY  - JOUR
AU  - Haimo, Franklin
TI  - Extensions of Endomorphisms from the Higher Centres
JO  - Canadian journal of mathematics
PY  - 1967
SP  - 1250
EP  - 1258
VL  - 19
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1967-114-x/
DO  - 10.4153/CJM-1967-114-x
ID  - 10_4153_CJM_1967_114_x
ER  - 
%0 Journal Article
%A Haimo, Franklin
%T Extensions of Endomorphisms from the Higher Centres
%J Canadian journal of mathematics
%D 1967
%P 1250-1258
%V 19
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1967-114-x/
%R 10.4153/CJM-1967-114-x
%F 10_4153_CJM_1967_114_x

[1] 1. Fuchs, L., Abelian groups (Budapest, 1958). Google Scholar

[2] 2.Ph. Montgomery, unpublished doctoral thesis, Washington University, St. Louis, 1964. Google Scholar

Cité par Sources :