Talk:Partially-ordered group
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It seems easy to verify that if an ordered group is finite, the order has to be equality; i.e., apart from this trivial case an ordered group is infinite. If we have a source we should add this.--Patrick 07:52, 18 May 2007 (UTC)
Moreover, every element in the positive cone apart from the identity element has infinite order.--Patrick 08:04, 18 May 2007 (UTC)
