Article contents
Extensions of Endomorphisms from the Higher Centres
Published online by Cambridge University Press: 20 November 2018
Extract
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.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1967
References
- 1
- Cited by