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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 1, Pages 214–223 (Mi smj18)  
This article is cited in 5 scientific papers (total in 5 papers)

On constructive nilpotent groups

N. G. Khisamiev

East Kazakhstan State Technical University named after D. Serikbayev
Full-text PDF (206 kB) Citations (5)
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Abstract: We prove the following: (1) a torsion-free class 2 nilpotent group is constructivizable if and only if it is isomorphic to the extension of some constructive abelian group included in the center of the group by some constructive torsion-free abelian group and some recursive system of factors; (2) a constructivizable torsion-free class 2 nilpotent group whose commutant has finite rank is orderably constructivizable.
Keywords: constructive group, nilpotent group, computable subgroup, center, system of factors.
Received: 28.06.2005
Revised: 29.05.2006
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 1, Pages 172–179
DOI: https://doi.org/10.1007/s11202-007-0018-0
Bibliographic databases:
UDC: 512.54+510.5
Language: Russian
Citation: N. G. Khisamiev, “On constructive nilpotent groups”, Sibirsk. Mat. Zh., 48:1 (2007), 214–223; Siberian Math. J., 48:1 (2007), 172–179
Citation in format AMSBIB
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\paper On constructive nilpotent groups
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\pages 214--223
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\pages 172--179
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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