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A characteristic-index inequality for closed embeddings of locally compact groups

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 Publication date 2021
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and research's language is English




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The characteristic index of a locally compact connected group $G$ is the non-negative integer $d$ for which we have a homeomorphism $Gcong Ktimes mathbb{R}^d$ with $Kle G$ maximal compact. We prove that the characteristic indices of closed connected subgroups are dominated by those of the ambient groups.



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