Abstract
We shall be concerned with problem 7 of Hanna Neumann [7], which asks: Prove or disprove that if U and B are varieties, and neither of U and B is contained in the other, then U ∪ B and [U, B] are decomposable if and only if U and B have a common non-trivial right hand factor.
Publisher
Cambridge University Press (CUP)
Cited by
6 articles.
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1. On the centers of free central extensions of some groups;Lecture Notes in Mathematics;1990
2. Infinite groups;Journal of Soviet Mathematics;1982
3. Generating groups of certain soluble varieties;Journal of the Australian Mathematical Society;1974-03
4. Hanna Neumann’s Problems on Varieties of Groups;Lecture Notes in Mathematics;1974
5. Certain commutator subgroups of free groups;Communications on Pure and Applied Mathematics;1973-09