Computing the nonabelian tensor squares of polycyclic groups

In this paper we develop a theory for computing the nonabelian tensor square and related computations for finitely presented groups and specialize it to polycyclic groups. This theory provides a framework for making nonabelian tensor square computations for polycyclic groups and is the basis of an a...

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Bibliographic Details
Published inJournal of algebra Vol. 321; no. 8; pp. 2139 - 2148
Main Authors Blyth, Russell D., Morse, Robert Fitzgerald
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.04.2009
Subjects
Nilpotent groups
Nonabelian tensor square
Polycyclic groups
Nonabelian tensor square
Nilpotent groups
Polycyclic groups
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Summary:In this paper we develop a theory for computing the nonabelian tensor square and related computations for finitely presented groups and specialize it to polycyclic groups. This theory provides a framework for making nonabelian tensor square computations for polycyclic groups and is the basis of an algorithm for computing the nonabelian tensor square for any polycyclic group.
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2008.12.029