Constructing faithful representations of finitely-generated torsion-free nilpotent groups

DOI10.1006/jsco.2001.0497zbMath1021.20006OpenAlexW2078306804MaRDI QIDQ1599531

Werner Nickel, Willem A. De Graaf

Publication date: 11 June 2002

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://dspace.library.uu.nl/handle/1874/2330

zbMATH Keywords

polycyclic presentationsgroup ringsefficient algorithmsfinitely generated torsionfree nilpotent groupsrepresentations by unitriangular matrices

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Ordinary representations and characters (20C15) Nilpotent groups (20F18)

Related Items (7)

A lower bound for faithful representations of nilpotent Lie algebras ⋮ Minimal faithful representations of the free 2-step nilpotent Lie algebra of the rank \(r\) ⋮ Using the Mal'cev correspondence for collection in polycyclic groups. ⋮ On the dimension of matrix embeddings of torsion-free nilpotent groups ⋮ Knapsack problem for nilpotent groups ⋮ Matrix representations for torsion-free nilpotent groups by Deep Thought. ⋮ Algorithm to compute minimal matrix representation of nilpotent lie algebras

Uses Software

• GAP

Cites Work

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