Computing the nonabelian tensor squares of polycyclic groups.

DOI10.1016/j.jalgebra.2008.12.029zbMath1195.20035OpenAlexW2116283660MaRDI QIDQ1024383

Robert Fitzgerald Morse, Russell D. Blyth

Publication date: 17 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.12.029

zbMATH Keywords

algorithmsnilpotent groupsfinitely presented groupspolycyclic groupsnonabelian tensor squares

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22) Software, source code, etc. for problems pertaining to group theory (20-04)

Related Items

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Uses Software

• GAP
• Magma
• Polycyclic
• NQ

Cites Work

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• Some computations of non-Abelian tensor products of groups
• Computing the Schur multiplicator and the nonabelian tensor square of a polycyclic group.
• Über die ganzzahlige Homologie von Gruppen. (On the integral homology of groups)
• Van Kampen theorems for diagrams of spaces
• On groups occurring as center factor groups
• Tensor products of prime-power groups
• The Magma algebra system. I: The user language
• A certain exact sequence
• On the capability of groups
• On the Computation of Certain Homotopical Functors
• A presentation for a crossed embedding of finite solvable groups
• Infinite metacyclic groups and their non-abelian tensor squares
• ON COMPUTING THE NON-ABELIAN TENSOR SQUARES OF THE FREE 2-ENGEL GROUPS
• Tensor Products and q -Crossed Modules
• On a construction related to the non-abelian tensor square of a group
• The Second Homology Group of a Group; Relations among Commutators

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