Re: Covering map of Lie groups

mareg_at_mimosa.csv.warwick.ac.uk
Date: 02/28/05 

Date: Mon, 28 Feb 2005 14:00:08 +0000 (UTC)

In article <cvttvg$uvr$1@news.ks.uiuc.edu>,
        tim@birdsnest.maths.tcd.ie writes:
>Mokelembebe wrote:
>
>> Thanks for your neat reply, Christian !
>> What happens if we fix n and we search for a morphism
>> GL(n,C)--> GL(N,C)
>> for some N, with kernel a subgroup with d elements ?
>
>Does GL(n,C) have normal subgroups of finite order,
>apart from {I} and {I,-I} ?

Yes, it has scalar subgroups of all finite orders.

Derek Holt.

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