Affiliation:
1. Yerevan State University , Alex Manoogian 1 , Yerevan 0025 , Armenia
Abstract
Abstract
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-abelian product varieties
𝔘
𝔙
{{\mathfrak{U}}{\mathfrak{V}}}
with the help of wreath products of groups. In particular, using wreath products, we find such subvarieties in nilpotent-by-abelian
𝔘
𝔙
{{\mathfrak{U}}{\mathfrak{V}}}
, which have the same nilpotency class, the same length of solubility, and the same exponent, but which still are distinct subvarieties. The classification we obtain strengthens our recent work on varieties generated by wreath products.
Funder
Russian Foundation for Basic Research
Subject
Algebra and Number Theory
Cited by
2 articles.
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