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Totally disconnected, nilpotent, locally compact groups
Published online by Cambridge University Press: 17 April 2009
Abstract
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
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