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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 4, Pages 769–779 (Mi smj893)  
This article is cited in 2 scientific papers (total in 2 papers)

First-order definability and algebraicity of the sets of annihilating and generating collections of elements for some relatively free solvable groups

Ch. K. Guptaa, E. I. Timoshenkob

a University of Manitoba
b Novosibirsk State University of Architecture and Civil Engineering
Full-text PDF (250 kB) Citations (2)
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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.
Received: 24.03.2005
English version:
Siberian Mathematical Journal, 2006, Volume 47, Issue 4, Pages 634–642
DOI: https://doi.org/10.1007/s11202-006-0074-x
Bibliographic databases:
UDC: 512.5
Language: Russian
Citation: Ch. K. Gupta, E. I. Timoshenko, “First-order definability and algebraicity of the sets of annihilating and generating collections of elements for some relatively free solvable groups”, Sibirsk. Mat. Zh., 47:4 (2006), 769–779; Siberian Math. J., 47:4 (2006), 634–642
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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