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An Embedding Theorem for Ordered Groups

Published online by Cambridge University Press:  20 November 2018

Donald P. Minassian
Donald P. Minassian*
Affiliation:
Butler University, Indianapolis, Indiana
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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.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 24 , Issue 5 , October 1972 , pp. 944 - 946
Copyright
Copyright © Canadian Mathematical Society 1972

References

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