Equations in virtually class \(2\) nilpotent groups

DOI10.46298/JGCC.2022.14.1.9776zbMATH Open1542.20212MaRDI QIDQ6566799

Alex Levine

Publication date: 3 July 2024

Published in: Journal of Groups, Complexity, Cryptology (Search for Journal in Brave)

zbMATH Keywords

decidabilityvirtually nilpotent groupsequations in groups

Mathematics Subject Classification ID

Nilpotent groups (20F18) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Algebraic geometry over groups; equations over groups (20F70)

Cites Work

• Diophantine questions in the class of finitely generated nilpotent groups
• Equations with one unknown in nilpotent groups
• Equations in nilpotent groups
• Solutions to twisted word equations and equations in virtually free groups
• Foliations for solving equations in groups: free, virtually free, and hyperbolic groups
• Equations in virtually abelian groups: Languages and growth
• The Diophantine problem in some metabelian groups
• The Theory of Nilpotent Groups
• Equations in virtually class \(2\) nilpotent groups
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Equations in virtually class \(2\) nilpotent groups

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