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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982 Number 2, Pages 61–69 (Mi vmumm4158)

Mathematics

Subvarieties of solvable almost-cross varieties of groups

T. V. Dubrovina


Abstract: We describe all subvarieties of soluble just-non-Cross varieties $\mathfrak{U}_p\mathfrak{U}_q\mathfrak{U}_r$ and $\mathfrak{U}_p\mathfrak{B}_q$, where $\mathfrak{B}_q$ is generated by a $2$-nilpotent group of exponent $q$. This completes the description of subvarieties in all soluble just-non-Cross varieties of groups.

UDC: 512.8

Received: 09.10.1981



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