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First-order definability and algebraicity of the sets of annihilating and generating collections of elements for some relatively free solvable groups |
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| Authors: | Ch. K. Gupta E. I. Timoshenko |
| Affiliation: | (1) Manitoba University, Winnipeg, Canada;(2) Novosibirsk State University of Architecture and Building, Novosibirsk, Russia |
| Abstract: | We study the first-order definable, Diophantine, and algebraic subsets in the set of all ordered sets generating a group or generating a group as a normal subgroup for some relatively free solvable groups. |
| Keywords: | generating collection annihilating collection Diophantine set algebraic set first-order definable set solvable group nilpotent group |
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