We describe coordinate groups of generalized rigid metabelian groups in which, whenever a group is noncommutative, the second factor of a rigid series is a divisible R-module over an appropriate integral domain R.
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Translated from Algebra i Logika, Vol. 60, No. 2, pp. 176-194, March-April, 2021. Russian https://doi.org/10.33048/alglog.2021.60.205.
The study was carried out within the framework of the state assignment to Sobolev Institute of Mathematics SB RAS, project No. 0314-2019-0001, and supported by RFBR, project No. 18-01-00100.
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Romanovskii, N.S. Coordinate Groups of Irreducible Algebraic Sets Over Divisible Metabelian r-Groups. Algebra Logic 60, 115–127 (2021). https://doi.org/10.1007/s10469-021-09634-y
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DOI: https://doi.org/10.1007/s10469-021-09634-y