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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Non- $ ({\rm CA})$ analytic groups and groups of rotations


Author: T. Christine Stevens
Journal: Proc. Amer. Math. Soc. 83 (1981), 400-402
MSC: Primary 22D05; Secondary 22E10
DOI: https://doi.org/10.1090/S0002-9939-1981-0624940-1
MathSciNet review: 624940
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Abstract: It is known that every non-$ (CA)$ analytic group arises from the action of a vector group on a $ (CA)$ analytic group. We prove here that this action always involves a vector group of rotations acting on another vector group.


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DOI: https://doi.org/10.1090/S0002-9939-1981-0624940-1
Keywords: $ (CA)$ analytic group, solvable analytic group, rotation group
Article copyright: © Copyright 1981 American Mathematical Society