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An embedding theorem for ordered groups

Published online by Cambridge University Press:  17 April 2009

Colin D. Fox
Colin D. Fox
Affiliation:
Department of Mathematics, La Trobe University, Bundoora, Victoria.
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Abstract

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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#.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 12 , Issue 3 , June 1975 , pp. 321 - 335
Copyright
Copyright © Australian Mathematical Society 1975

References

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