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An embedding theorem for ordered groups
Published online by Cambridge University Press: 17 April 2009
Abstract
We show that if the normal, closure of an element a, of an orderable group, G, is abelian, then G can be embedded in an orderable group, G#, which contains an n-th root of a for every positive integer, n. Furthermore, every order of G extends to an order of G#.
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- Copyright © Australian Mathematical Society 1975
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