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On decomposable varieties of groups

Published online by Cambridge University Press:  09 April 2009

John Cossey
John Cossey
Affiliation:
Department of Pure MathematicsSchool of General StudiesThe Australian National UniversityCanberra
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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.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 11 , Issue 3 , August 1970 , pp. 340 - 342
Copyright
Copyright © Australian Mathematical Society 1970

References

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