The Problem of the Classification of the Nilpotent Class 2 Torsion Free Groups up to Geometric Equivalence

DOI10.1080/00927870802104428zbMath1158.20018arXivmath/0611736OpenAlexW2963316487MaRDI QIDQ3525207

Arkady Tsurkov

Publication date: 11 September 2008

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

Full work available at URL: https://arxiv.org/abs/math/0611736

zbMATH Keywords

quasivarietiesnilpotent Lie algebrasgeometric equivalencesMaltsev completionsrelatively free nilpotent groups

Mathematics Subject Classification ID

Nilpotent groups (20F18) Solvable, nilpotent (super)algebras (17B30) Quasivarieties and varieties of groups (20E10) Quasivarieties (08C15)

Cites Work

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• The problems of classifying pairs of forms and local algebras with zero cube radical are wild.
• Nilpotent groups of Hirsch length six
• Paare alternierender Formen
• A note on finitely generated torsion-free nilpotent groups of class 2
• Problems of classifying associative or Lie algebras and triples of symmetric or skew-symmetric matrices are wild
• CLASSIFICATION PROBLEMS FOR SYSTEMS OF FORMS AND LINEAR MAPPINGS
• GEOMETRIC EQUIVALENCE OF ALGEBRAS

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