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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2009 Volume 50, Number 6, Pages 1328–1332 (Mi smj2052)

Minimal varieties of $m$-groups

A. V. Zenkov

Altai State Agricultural University, Chair of Mathematics, Barnaul

Abstract: We study the lattice of varieties of $m$-groups. The main result is a description of the covers of the smallest nontrivial variety of $m$-groups.

Keywords: $m$-group, variety, cover, lattice.

UDC: 512.545

Received: 29.09.2008


 English version:
Siberian Mathematical Journal, 2009, 50:6, 1045–1048

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© Steklov Math. Inst. of RAS, 2026