The isomorphism problem for torsion free nilpotent groups of Hirsch length at most \(5\)

DOI10.1515/gcc-2017-0004zbMath1382.20040OpenAlexW2605493607MaRDI QIDQ524645

Bettina Eick, Ann-Kristin Engel

Publication date: 3 May 2017

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

Full work available at URL: https://doi.org/10.1515/gcc-2017-0004

zbMATH Keywords

automorphism groupnilpotent groupsisomorphism problem

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Nilpotent groups (20F18) Automorphism groups of groups (20F28) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (3)

Torsion-free nilpotent groups of small Hirsch length with isomorphic finite quotients ⋮ The isomorphism problem for torsion free nilpotent groups of Hirsch length at most \(5\) ⋮ Polynomials describing the multiplication in finitely generated torsion-free nilpotent groups

Uses Software

• GAP
• Polycyclic

Cites Work

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• The isomorphism problem for torsion free nilpotent groups of Hirsch length at most \(5\)
• Nilpotent groups and their automorphisms
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• Some general algorithms. I: Arithmetic groups
• Some general algorithms. II: Nilpotent groups
• The algorithmic theory of polycyclic-by-finite groups
• A note on finitely generated torsion-free nilpotent groups of class 2
• Orbit-stabilizer problems and computing normalizers for polycyclic groups.
• Constructing arithmetic subgroups of unipotent groups.
• Computing generators of the unit group of an integral Abelian group ring.

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