Geodesic
On prime radicals and wreath products of partially ordered groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 8, pp. 245-261

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The notion of a wreath product for partially ordered groups is considered. A series of results on semidirect products of $\mathcal{AO}$-groups and interpolation groups is obtained. Some results are obtained concerning prime radicals of directed groups. 
@article{FPM_2010_16_8_a12,
     author = {E. E. Shirshova},
     title = {On prime radicals and wreath products of partially ordered groups},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {245--261},
     publisher = {mathdoc},
     volume = {16},
     number = {8},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2010_16_8_a12/}
}
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E. E. Shirshova. On prime radicals and wreath products of partially ordered groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 8, pp. 245-261. http://geodesic.mathdoc.fr/item/FPM_2010_16_8_a12/