Solvability of Independent Systems of Equations in Finitely Generated Nilpotent Groups Full article
| Journal |
Mathematical Notes
ISSN: 0001-4346 , E-ISSN: 1573-8876 |
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| Output data | Year: 2021, Volume: 110, Number: 3-4, Pages: 560-564 Pages count : 5 DOI: 10.1134/S000143462109025X | ||
| Tags | Diophantine problem; independent system; nilpotent group; regular equation; residual finiteness | ||
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| Affiliations |
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Funding (1)
| 1 | Омский филиал ФГБУН «Институт математики им. С.Л. Соболева СО РАН». | 0314-2019-0004 |
Abstract:
Abstract: It is proved that the solvability problem for a finite independent system of equations in a finitely generated nilpotent group can effectively be reduced to a similar problem in some finite quotient group of this group. Therefore, this problem is algorithmically solvable. This strengthens a theorem of A. G. Makanin on the residual finiteness and algorithmic solvability of a regular splittable equation in a finitely generated nilpotent group. © 2021, Pleiades Publishing, Ltd.
Cite:
Roman’kov V.A.
Solvability of Independent Systems of Equations in Finitely Generated Nilpotent Groups
Mathematical Notes. 2021. V.110. N3-4. P.560-564. DOI: 10.1134/S000143462109025X WOS Scopus OpenAlex
Solvability of Independent Systems of Equations in Finitely Generated Nilpotent Groups
Mathematical Notes. 2021. V.110. N3-4. P.560-564. DOI: 10.1134/S000143462109025X WOS Scopus OpenAlex
Identifiers:
| Web of science: | WOS:000711049900025 |
| Scopus: | 2-s2.0-85118120335 |
| OpenAlex: | W3210385430 |
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