Geodesic
The connected component of the group of automorphisms of a locally compact group
Sbornik. Mathematics, Tome 31 (1977) no. 2, pp. 219-229 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper is devoted to the investigation of the group of automorphisms $\operatorname{Aut}G$ of a locally compact group $G$. $\operatorname{Aut}G$ is equipped with a topology which is naturally related to the topology of $G$. The connected component of $\operatorname{Aut}G$ is determined for a group $G$ which can be written as a semidirect product of a vector group and a group possessing an open compact subgroup. For a central group $G$ an explicit representation of $(\operatorname{Aut}G)_0$ is obtained in the form of a product of certain well-defined subgroups of $\operatorname{Aut}G$. The following result is obtained: Theorem. {\it If $G$ is locally compact group whose connected component is compact, then the connected component of $\operatorname{Aut}G$ is also compact.} Bibliography: 11 titles. 
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     title = {The connected component of the group of automorphisms of a~locally compact group},
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O. V. Mel'nikov. The connected component of the group of automorphisms of a locally compact group. Sbornik. Mathematics, Tome 31 (1977) no. 2, pp. 219-229. http://geodesic.mathdoc.fr/item/SM_1977_31_2_a5/

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