Abstract
A weak but still unsolved version of the first half of Problem 7 in Hanna Neumann's book [5] asks whether the product of a nontrivial join-irreducible variety and an arbitrary variety is necessarily also join-irreducible. One of the results of this paper is a positive answer provided either is abelian or the infiniterank free groups of have no nontrivial abelian verbal subgroups. For a general discussion, see [4]; all unexplained notation is as in [5].
Publisher
Cambridge University Press (CUP)
Cited by
2 articles.
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1. On the join of varieties of groups;Bulletin of the Australian Mathematical Society;1995-04
2. Hanna Neumann's problems on varieties of groups;Lecture Notes in Mathematics