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An Embedding Theorem for Ordered Groups
Published online by Cambridge University Press: 20 November 2018
Extract
An O*-group is a group wherein every partial order can be extended to some full order.
THEOREM. Suppose the group G has a normal chain G = G1 ⊇ G2 ⊇ … such that
and each G/Gi is locally nilpotent and torsion-free. Then G can be embedded in thecomplete direct product G’ of divisible O*-groups.
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- Copyright © Canadian Mathematical Society 1972
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