Generalisation of an embedding theorem for groups
Glasgow mathematical journal, Tome 4 (1960) no. 4, pp. 171-177
Voir la notice de l'article provenant de la source Cambridge University Press
Let G be a given group and A, B be two subgroups of G which may or may not coincide. A homomorphism μ which maps A onto B is called a partial endomorphism of G. When A coincides with G then we call μ a total endomorphism or as it is usually called an endomorphism of G. If μ* is a partial (or total) endomorphism of a supergroup G* ⊇ G, then we say that μ* extends, or continues, μ when μ* is defined for at least all the elements a ∈ A and moreover aμ = aμ* for all a ∈ A If the partial endomorphism μ is an isomorphic mapping then we speak of a partial automorphism of G.
Chehata, C. G. Generalisation of an embedding theorem for groups. Glasgow mathematical journal, Tome 4 (1960) no. 4, pp. 171-177. doi: 10.1017/S2040618500034110
@article{10_1017_S2040618500034110,
author = {Chehata, C. G.},
title = {Generalisation of an embedding theorem for groups},
journal = {Glasgow mathematical journal},
pages = {171--177},
year = {1960},
volume = {4},
number = {4},
doi = {10.1017/S2040618500034110},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S2040618500034110/}
}
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