Geodesic
Commutative Extension of Partial Automorphisms of Groups
Glasgow mathematical journal, Tome 1 (1953) no. 4, pp. 170-181

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

Let μ be an isomorphism which maps a subgroup A of the group G onto a second subgroup B (not necessarily distinct from A) of G; then μ is called a partial automorphism of G. If A coincides with G, that is if the isomorphism is defined on the whole of G, we speak of a total automorphism; this is what is usually called an automorphism of G. A partial (or total) automorphism μ,* extends or continues a partial automorphism μ if μ* is defined for, at least, all those elements for which μ is defined, and moreover μ* coincides with μ where μ is defined. 
Chehata, C. G. Commutative Extension of Partial Automorphisms of Groups. Glasgow mathematical journal, Tome 1 (1953) no. 4, pp. 170-181. doi: 10.1017/S2040618500035693
@article{10_1017_S2040618500035693,
     author = {Chehata, C. G.},
     title = {Commutative {Extension} of {Partial} {Automorphisms} of {Groups}},
     journal = {Glasgow mathematical journal},
     pages = {170--181},
     year = {1953},
     volume = {1},
     number = {4},
     doi = {10.1017/S2040618500035693},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S2040618500035693/}
}
TY  - JOUR
AU  - Chehata, C. G.
TI  - Commutative Extension of Partial Automorphisms of Groups
JO  - Glasgow mathematical journal
PY  - 1953
SP  - 170
EP  - 181
VL  - 1
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S2040618500035693/
DO  - 10.1017/S2040618500035693
ID  - 10_1017_S2040618500035693
ER  - 
%0 Journal Article
%A Chehata, C. G.
%T Commutative Extension of Partial Automorphisms of Groups
%J Glasgow mathematical journal
%D 1953
%P 170-181
%V 1
%N 4
%U http://geodesic.mathdoc.fr/articles/10.1017/S2040618500035693/
%R 10.1017/S2040618500035693
%F 10_1017_S2040618500035693

[(1)] (1)Baer, Reinhold, “Free sums of groups and their generalizations. An analysis of the associative law,” Amer. J. Math., 71, (1949), 706–742. Google Scholar | DOI

[(2)] (2)Higman, G., Neumann, B. H., and Neumann, H., “Embedding theorems for groups,” J. London Math. Soc., 24 (1949), 247–254. Google Scholar | DOI

[(3)] (3)Neumann, Hanna, “Generalized free products with amalgamated subgroups,” Amer. J. Math., 70, (1948), 590–625. Google Scholar | DOI

Cité par Sources :