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In mathematics, specifically abstract algebra, a linearly ordered or totally ordered group is a group G equipped with a total order "≤" that is translation-invariant. This may have different meanings. We say that (G, ≤) is a:
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group displaystyle order left-orderable groups leq ordered -1 left- right-orderable bi-orderable also defined positive left-invariant cone may right-invariant elements equivalent
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