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Right-Ordered Polycyclic Groups

Published online by Cambridge University Press:  20 November 2018

Roberta Botto Mura
Roberta Botto Mura*
Affiliation:
University of Alberta, Edmonton, Canada
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One of the features that make right-ordered groups harder to investigate than ordered groups is that their system of convex subgroups may fail to have the following property:

(*) if C and C’ are convex subgroups of G and C’ covers C, then C is normal in C’ and C’/C is order-isomorphic to a subgroup of the naturally ordered additive group of real numbers.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 17 , Issue 2 , 01 June 1974 , pp. 175 - 178
Copyright
Copyright © Canadian Mathematical Society 1974

References

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