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Semigroup laws in varieties of solvable groups

Published online by Cambridge University Press:  24 October 2008

Jacques Lewin  and
Tekla Lewin
Jacques Lewin
Affiliation:
Syracuse University
Tekla Lewin
Affiliation:
Syracuse University
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Extract

Let be a variety of groups. We say that the variety (the group G) has a semigroup law if u(x1, …, xn) = ν(x1, …, xn) is a law in (in G), with u and ν different words in the free semigroup freely generated by x1,…,xn. It seems very difficult to determine under what conditions a variety has a semigroup law. All we can say in general is that if does have a semigroup law, then it is in fact characterized by its semigroup laws (Section III).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 65 , Issue 1 , January 1969 , pp. 1 - 9
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

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