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- W2963935040 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 <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:mi>𝔘</m:mi> <m:mo></m:mo> <m:mi>𝔙</m:mi> </m:mrow> </m:math> {{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 <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:mi>𝔘</m:mi> <m:mo></m:mo> <m:mi>𝔙</m:mi> </m:mrow> </m:math> {{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." @default.
- W2963935040 created "2019-07-30" @default.
- W2963935040 creator A5035352581 @default.
- W2963935040 date "2018-05-29" @default.
- W2963935040 modified "2023-10-12" @default.
- W2963935040 title "Subvariety structures in certain product varieties of groups" @default.
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- W2963935040 doi "https://doi.org/10.1515/jgth-2018-0017" @default.
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