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Not locally compact monothetic groups. I

✍ Scribed by J.W. Nienhuys

Book ID: 108495228
Publisher: Elsevier Science
Year: 1970
Weight: 823 KB
Volume: 73
Category: Article
ISSN: 1385-7258
DOI: 10.1016/s1385-7258(70)80035-x

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We determine all locally compact abelian groups with the property that the group of all topological automorphisms acts transitively on the set of nontrivial elements. Such groups are called homogeneous. The connected ones are the additive groups of finite-dimensional vector spaces over the real numb