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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

Michael R. Bacon
Michael R. Bacon
Affiliation:
Department of Mathematics, Binghamton University, Binghamton, Ny 13902-6000, U.S.A.
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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].

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 36 , Issue 3 , September 1994 , pp. 291 - 296
Copyright
Copyright © Glasgow Mathematical Journal Trust 1994

References

REFERENCES

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