An embedding theorem for groups
Glasgow mathematical journal, Tome 4 (1960) no. 3, pp. 140-143
Voir la notice de l'article provenant de la source Cambridge University Press
Let G by any given group. A homomorphic mapping μ of a subgroup A of G onto a second subgroup B of G, where A and B need not be distinct, is called a partial endomorphism of G. When μ is defined on the whole of G, that is when A = G, we call μ a total endomorphism of G; or simply an endomorphism of G.A partial (or total) endomorphism μ* of a supergroup G* of G is said to extend (or continue) μ if μ* is defined on a supergroup A* of A, that is, μ* is defined for at least the elements for which μ. is defined, and moreover μ* coincides with μ on A.
Chehata, C. G. An embedding theorem for groups. Glasgow mathematical journal, Tome 4 (1960) no. 3, pp. 140-143. doi: 10.1017/S2040618500034055
@article{10_1017_S2040618500034055,
author = {Chehata, C. G.},
title = {An embedding theorem for groups},
journal = {Glasgow mathematical journal},
pages = {140--143},
year = {1960},
volume = {4},
number = {3},
doi = {10.1017/S2040618500034055},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S2040618500034055/}
}
[1] 1.Chehata, C. G., Simultaneous extension of partial endomorphisms of groups, Proc. Glasgow Math. Assoc., 2 (1954), 37–46. Google Scholar | DOI
[2] 2.Neumann, B. H. and Neumann, Hanna, Extending partial endomorphisms of groups, Proc. London Math. Soc. (3) 2 (1952), 337–348. Google Scholar | DOI
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