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Embedding Theorems for Groups
Published online by Cambridge University Press: 20 January 2009
Extract
By a partial endomorphism of a group G we mean a homomorphic mapping μ of a subgroup A of G onto a subgroup B of G. If μ is denned on the whole of G then it is called a total endomorphism. We call a partial endomorphism totally extendable (or extendable) if there exists a supergroup G*⊇G with a total endomorphism μ* which extends μ in the sense that gμ* = gμ, whenever the right-hand side is defined (3).
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 13 , Issue 2 , December 1962 , pp. 153 - 157
- Copyright
- Copyright © Edinburgh Mathematical Society 1962
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