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A theorem on power-open LCA groups and its consequences

Published online by Cambridge University Press:  17 April 2009

M.A. Khan
M.A. Khan
Affiliation:
IC, 5/13, Nazimabad, Karachi, Pakistan.
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An LCA group G is called largely open if every large subgroup (that is, subgroup of finite index) of G is open. G is power-open if the continuous endomorphism, g → ng, g ∈ G, takes open sets of G onto open sets of G for every integer n > 1.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 26 , Issue 2 , October 1982 , pp. 239 - 247
Copyright
Copyright © Australian Mathematical Society 1982

References

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