Extensions of lattice-ordered groups |
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Authors: | V V Bludov V M Kopytov |
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Institution: | (1) Irkutsk State Teachers Training University, Nizhnyaya nab. 6, Irkutsk, 664011, Russia;(2) Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia |
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Abstract: | A number of conditions are specified which are sufficient for totally ordered groups with polycyclic factor group to contain
a finite normal series of convex subgroups whose factors possess good enough properties. In any case studying such totally
ordered groups is reduced to treating extensions of these groups as well as their virtually o-equivalent extensions. The concept
of a virtually o-equivalent extension is a particular case of the notion of an Archimedean extension.
Supported by RFBR project No. 03-01-00320.
Translated from Algebra i Logika, Vol. 47, No. 5, pp. 529–540, September–October, 2008. |
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Keywords: | totally ordered group virtually o-equivalent extension Archimedean extension |
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