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On the non-albelian tensor square of a nilpotent group of class two
Published online by Cambridge University Press: 18 May 2009
Extract
The nonabelian tensor square G⊗G of a group G is generated by the symbols g⊗h, g, h ∈ G, subject to the relations
,
for all g, g′, h, h′ ∈ G, where The tensor square is a special case of the nonabelian tensor product which has its origins in homotopy theory. It was introduced by R. Brown and J. L. Loday in [4] and [5], extending ideas of Whitehead in [6].
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- Copyright © Glasgow Mathematical Journal Trust 1994
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