For a finitely generated 2-step solvable 2-graded rigid pro-p-group G, the coordinate group of an affine space Gm is found and the space Gm is stated to be irreducible in the Zariski topology.
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*Supported by RFBR, project No. 12-01-00084.
Translated from Algebra i Logika, Vol. 53, No. 3, p. 295-299, May-June, 2014.
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Afanas’eva, S.G. The Coordinate Group of an Affine Space Over a Rigid Metabelian Pro-p-group. Algebra Logic 53, 187–190 (2014). https://doi.org/10.1007/s10469-014-9282-9
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DOI: https://doi.org/10.1007/s10469-014-9282-9