Journal Home Page Cumulative Index List of all Volumes Complete Contentsof this Volume Previous Article Journal of Lie Theory 32 (2022), No. 3, 697--708Copyright Heldermann Verlag 2022 A Characteristic-Index Inequality for Closed Embeddings of Locally Compact Groups Alexandru Chirvasitu Dept. of Mathematics, University at Buffalo, New York, U.S.A. achirvas@buffalo.edu [Abstract-pdf] The characteristic index of a locally compact connected group $G$ is the non-negative integer $d$ for which we have a homeomorphism $G\cong K\times \mathbb{R}^d$ with $K$ maximal compact in $G$. We prove that the characteristic indices of closed connected subgroups are dominated by those of the ambient groups. Keywords: Lie group, locally compact group, characteristic index, dense embedding, Lie algebra, homology, fibration, spectral sequence. MSC: 22D05, 22E15, 22E60, 57T15, 55T10. [ Fulltext-pdf  (115  KB)] for subscribers only.