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Solvability of Independent Systems of Equations in Finitely Generated Nilpotent Groups Научная публикация

Журнал

Mathematical Notes
ISSN: 0001-4346 , E-ISSN: 1573-8876

Вых. Данные

Год: 2021, Том: 110, Номер: 3-4, Страницы: 560-564 Страниц : 5 DOI: 10.1134/S000143462109025X

Ключевые слова

Diophantine problem; independent system; nilpotent group; regular equation; residual finiteness

Авторы

Roman’kov V.A. ¹

Организации

1	Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences, Omsk, 644043, Russian Federation

Информация о финансировании (1)

Омский филиал ФГБУН «Институт математики им. С.Л. Соболева СО РАН».

0314-2019-0004

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.

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

Web of science:	WOS:000711049900025
Scopus:	2-s2.0-85118120335
OpenAlex:	W3210385430

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