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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

1.Beyl, R., The Schur multiplicator of metacyclic groups, Proc. Amer. Math. Soc. 40 (1973), 413–418.CrossRefGoogle Scholar
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