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math.GR2018
Subvariety structures in certain product varieties of groups
V. H. Mikaelian
We classify certain cases when the wreath products of distinct pairs of groups generate the same variety. This allows us to investigate the subvarieties of some nilpotent-by-abelia…
math.GR2018★ 15 cited
On varieties of groups generated by wreath products of abelian groups
Vahagn H. Mikaelian
Generalizing results of Higman and Houghton on varieties generated by wreath products of finite cycles, we prove that the (direct or cartesian) wreath product of arbitrary abelian…