Infinite two-generator groups of class two and their non-abelian tensor squares. (Q1854176)

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scientific article; zbMATH DE number 1852911
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Infinite two-generator groups of class two and their non-abelian tensor squares.
scientific article; zbMATH DE number 1852911

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    Infinite two-generator groups of class two and their non-abelian tensor squares. (English)
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    13 January 2003
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    The non-abelian tensor square is a special case of the non-abelian tensor product of groups introduced by Brown and Loday as a tool for computing higher non-commutative homotopy groups. This paper completes the classification of 2-generator groups of nilpotency class two for the infinite case and determines their non-abelian tensor squares.
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    non-abelian tensor product of groups
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    homotopy groups
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    2-generator groups
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