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A distal property of groups and the growth of connected locally compact groups
Published online by Cambridge University Press: 26 February 2010
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If G is a topological group then we can think of G acting on itself by multiplying on the left. We would like to know when this action has the property that whenever g and h are distinct elements of G, then the element xg does not get arbitrarily close to xh as x varies in G. It is natural to say that this is the case if {(xg, xh): x∈G} is separated from the diagonal of G × G by a uniform neighbourhood of the diagonal.
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- Copyright © University College London 1979
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