Two theorems about equationally Noetherian groups

DOI10.1006/jabr.1997.7025zbMath0888.20017OpenAlexW2021591702MaRDI QIDQ1368050

Gilbert Baumslag, Alexei G. Myasnikov, Vitaliĭ Roman'kov

Publication date: 24 November 1997

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/b949533e3a92156ad3b99a037734bf025c736ab6

zbMATH Keywords

subgroups of finite indexfree productsfinitely generated nilpotent groupsalgebraic setsequationally Noetherian groupsroots of equations over groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Extensions, wreath products, and other compositions of groups (20E22) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

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Cites Work

• The verbal topology of a group
• Varieties of groups