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The circle group

Published online by Cambridge University Press:  17 April 2009

Sidney A. Morris
Sidney A. Morris
Affiliation:
Department of Mathematics, La Trobe University, Bundoora, Victoria, 3083Australia.
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Abstract

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We prove the following theorem: if G is a locally compact Hausdorff group such that each of its proper closed subgroups has only a finite number of closed subgroups, then G is topologically isomorphic to the circle group.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 36 , Issue 2 , October 1987 , pp. 279 - 282
Copyright
Copyright © Australian Mathematical Society 1987

References

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