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How can I prove directly that a locally compact topological group G is normal? I have done this by showing that every locally compact topological group is strongly Paracompact. But I could not prove it directly.

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    What do you mean by "normal group"?2012-01-14
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    @Davide I believe he means the topology is normal.2012-01-14
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    yes, I mean normal topological space.2012-01-15
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    Yes, as every locally compact topological group is a disjoint sum of $\sigma$-compact groups, and each of these is regular Lindelöf, hence normal, and a sum of normal spaces is normal.2012-01-15
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    I think hausdorffness is a necessary condition for group $G$.2013-01-13

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