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On Abelian continuous groups
Published online by Cambridge University Press: 24 October 2008
Extract
An abstract continuous group, G, is an abstract space whose points have a continuous associative multiplication law, with division. The object of this note is to sketch a proof, which will appear in full elsewhere, that if the space G is locally Cartesian and compact, and the group G is Abelian (commutative), then G is the ordinary closed translation group in n dimensions: i.e. the space is that obtained from the “cube”
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 27 , Issue 3 , July 1931 , pp. 387 - 390
- Copyright
- Copyright © Cambridge Philosophical Society 1931
References
* Newman, , Quarterly Journal of Math. 2 (1931), 1–8.CrossRefGoogle Scholar
* Abh. Hamburg Seminar, 4 (1925), 37.Google Scholar