Geodesic
Completion of Linearly Ordered Metabelian Groups
Algebra i logika, Tome 42 (2003) no. 5, pp. 542-565

Voir la notice de l'article provenant de la source Math-Net.Ru

We prove a theorem saying that in finitely generated linearly ordered metabelian groups there exists a finite system of normal convex subgroups satisfying orderability conditions for groups, and an embedding theorem for linearly ordered metabelian groups whose initial linear orders extend to $\Gamma$-divisible linearly ordered metabelian ones. As a consequence, it is stated that orderable metabelian groups are embedded, with extension of all their linear orders, in $\Gamma$-divisible orderable metabelian groups.
Keywords: linearly ordered metabelian group, $Gamma$-divisible linearly ordered metabelian group, normal convex subgroup. 
@article{AL_2003_42_5_a1,
     author = {V. V. Bludov},
     title = {Completion of {Linearly} {Ordered} {Metabelian} {Groups}},
     journal = {Algebra i logika},
     pages = {542--565},
     publisher = {mathdoc},
     volume = {42},
     number = {5},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2003_42_5_a1/}
}
TY  - JOUR
AU  - V. V. Bludov
TI  - Completion of Linearly Ordered Metabelian Groups
JO  - Algebra i logika
PY  - 2003
SP  - 542
EP  - 565
VL  - 42
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AL_2003_42_5_a1/
LA  - ru
ID  - AL_2003_42_5_a1
ER  - 
%0 Journal Article
%A V. V. Bludov
%T Completion of Linearly Ordered Metabelian Groups
%J Algebra i logika
%D 2003
%P 542-565
%V 42
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AL_2003_42_5_a1/
%G ru
%F AL_2003_42_5_a1
V. V. Bludov. Completion of Linearly Ordered Metabelian Groups. Algebra i logika, Tome 42 (2003) no. 5, pp. 542-565. http://geodesic.mathdoc.fr/item/AL_2003_42_5_a1/