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The nonabelian tensor square of a finite split metacyclic group

Published online by Cambridge University Press:  20 January 2009

D. L. Johnson
D. L. Johnson
Affiliation:
Department of Mathematics, University of Nottingham University Park, Nottingham NG7 2RD
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Given any group G, its tensor square G ⊗ G is defined by the followingpresentation(see [[3]):

where g,g′,h,h′ range independently over G, and gh=ghg−1. In what follows, gg′ ⊗ gh is often written in the abbreviated form g(g′ ⊗ h).

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 30 , Issue 1 , February 1987 , pp. 91 - 95
Copyright
Copyright © Edinburgh Mathematical Society 1987

References

REFERENCES

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2.Brown, R., Johnson, D. L. and Robertson, E. F., Some computations of non-abelian tensor products of groups, J. Algebra, to appear.Google Scholar
3.Brown, R. and Loday, J.-L., Excision homotopique en basse dimension, C. R. Acad. Sci. Paris Sir. 1 Math. 298: 15 (1984), 353–356.Google Scholar
4.Whitehead, J. H. C., A certain exact sequence, Ann. of Math. 52 (1950), 51–110.CrossRefGoogle Scholar