A product variety of groups with distributive lattice
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- by L. F. Harris PDF
- Proc. Amer. Math. Soc. 43 (1974), 53-56 Request permission
Abstract:
By a variety of $A$-groups is meant a locally finite variety of groups whose nilpotent groups are abelian. It is shown that if $\mathfrak {U}$ is a variety of $A$-groups and $\mathfrak {B}$ is a locally finite variety whose lattice of subvarieties is distributive and the exponents of $\mathfrak {U}$ and $\mathfrak {B}$ are coprime, then the lattice of subvarieties of the product variety $\mathfrak {U}\mathfrak {B}$ is distributive.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 43 (1974), 53-56
- MSC: Primary 20E10
- DOI: https://doi.org/10.1090/S0002-9939-1974-0332986-2
- MathSciNet review: 0332986