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Totally disconnected, nilpotent, locally compact groups

Published online by Cambridge University Press:  17 April 2009

G. Willis
G. Willis
Affiliation:
Department of Mathematics, The University of Newcastle, Newcastle NSW 2308, Australia
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Abstract

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It is shown that, if G is a totally disconnected, compactly generated and nilpotent locally compact group, then it has a base of neighbourhoods of the identity consisting of compact, open, normal subgroups. An example is given showing that the hypothesis that G be compactly generated is necessary.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 55 , Issue 1 , February 1997 , pp. 143 - 146
Copyright
Copyright © Australian Mathematical Society 1997

References

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