Geodesic
On the Properties of Plesio-Uniform Subgroups in Lie Groups
Matematičeskie zametki, Tome 69 (2001) no. 3, pp. 338-345.

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The paper is devoted to the study of properties of a class of subgroups $H$ in Lie groups $G$ that was recently introduced by the author. A closed subgroup $H$ in a Lie group $G$ is said to be plesio-uniform if there is a closed subgroup $P$ of $G$ that contains $H$ and for which $P$ is uniform in $G$ and $H$ is quasi-uniform in $P$. In the paper we give answers to several natural questions concerning plesio-uniform subgroups. It is proved that one obtains the same notion of plesio-uniformity when transposing the conditions of uniformity and quasi-uniformity in the definition of plesio-uniformity of a subgroup. If a closed subgroup $H$ of $G$ contains a plesio-uniform subgroup, then $H$ is also plesio-uniform. Other properties of plesio-uniform subgroups are also considered. 
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V. V. Gorbatsevich. On the Properties of Plesio-Uniform Subgroups in Lie Groups. Matematičeskie zametki, Tome 69 (2001) no. 3, pp. 338-345. http://geodesic.mathdoc.fr/item/MZM_2001_69_3_a2/

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