Submodules of free Lie rings

DOI10.1007/BF01194833zbMath0508.20015OpenAlexW2048406621MaRDI QIDQ1837760

Kathy Horadam

Publication date: 1983

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01194833

zbMATH Keywords

orbitsfinitely generated groupsfinitely generated nilpotent groupsisomorphism problemone-relator grouplower central seriesfree Lie ringequivalent binary formsGL(m,Z)- submoduleLie ring of free groupone-relator nilpotent groupssubmodule lattice structure of free Lie ring

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Nilpotent groups (20F18) Free nonabelian groups (20E05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Lie algebras and Lie superalgebras (17B99) Associated Lie structures for groups (20F40)

Cites Work

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• Some general algorithms. I: Arithmetic groups
• Nilpotent groups of Hirsch length six
• A note on finitely generated torsion-free nilpotent groups of class 2
• The centre of groups with one defining relator
• Über Invarianten in Lieschen Ringen
• Integration in free groups
• A Quick Test for Nonisomorphism of One-Relator Groups
• Computing invariants for finitely presented nilpotent groups
• The Isomorphism Problem for Two-Generator One-Relator Groups with Torsion is Solvable
• The enumeration of lie invariants
• Über Gruppen und zugeordneten Liesche Ringe.
• A Basis for Free Lie Rings and Higher Commutators in Free Groups

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