Geodesic
The coordinate group of an affine space over a rigid metabelian pro-$p$-group
Algebra i logika, Tome 53 (2014) no. 3, pp. 295-299

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For a finitely generated $2$-step solvable $2$-graded rigid pro-$p$-group $G$, the coordinate group of an affine space $G^m$ is found and the space $G^m$ is stated to be irreducible in the Zariski topology.
Keywords: rigid metabelian pro-$p$-group, coordinate group.
Mots-clés : affine space 
@article{AL_2014_53_3_a0,
     author = {S. G. Afanas'eva},
     title = {The coordinate group of an affine space over a~rigid metabelian pro-$p$-group},
     journal = {Algebra i logika},
     pages = {295--299},
     publisher = {mathdoc},
     volume = {53},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2014_53_3_a0/}
}
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S. G. Afanas'eva. The coordinate group of an affine space over a rigid metabelian pro-$p$-group. Algebra i logika, Tome 53 (2014) no. 3, pp. 295-299. http://geodesic.mathdoc.fr/item/AL_2014_53_3_a0/