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Uniqueness in Structure Theorems for LCA Groups

Published online by Cambridge University Press:  20 November 2018

D. L. Armacost  and
W. L. Armacost
D. L. Armacost
Affiliation:
Amherst College, Amherst, Massachusetts
W. L. Armacost
Affiliation:
California State University at Dominguez Hills, Dominguez Hills, California
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The classical Pontrjagin-van Kampen structure theorem states that any locally compact abelian (LCA) group G can be written as the direct product of a vector group Rm (where R denotes the additive group of real numbers with the usual topology, and m is a non-negative integer) and an LCA group H which contains a compact open subgroup. This important theorem, which van Kampen deduced from the work of Pontrjagin, was first stated and proved in [5, p. 461].

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 30 , Issue 3 , 01 June 1978 , pp. 593 - 599
Copyright
Copyright © Canadian Mathematical Society 1978

References

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