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Note on operations generating the group operations in nilpotent groups of class 3

Published online by Cambridge University Press:  09 April 2009

Ernest Plonka
Ernest Plonka
Affiliation:
Instytut Matematyczny PAN 51–617 Wroclaw ul. Kopernika 18 Poland
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Let K be a class of groups and let ω(K) denote the set of all such words w(x, y) that the group operations 1, x-1, xy in every group G ∈ K can be expressed as a superposition of w and the projections e1(x, y) = x, e2(x, y) = y.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 20 , Issue 2 , September 1975 , pp. 205 - 206
Copyright
Copyright © Australian Mathematical Society 1975

References

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Padmanabhan, P. (1969), ‘A note on inverse binary operation in abelian groups’ Fund. Math. 65, 61–63.CrossRefGoogle Scholar