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Matematicheskie Zametki, 1968, Volume 4, Issue 6, Pages 629–634
(Mi mzm6782)
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On varieties of $n$-solvable groups
V. M. Kotlov National Taras Shevchenko University of Kyiv
Abstract:
A new and shorter proof is given for the fundamental theorem of Kaluzhnin's recent note [1]: A variety of $n$-Abelian groups is the sum of a variety of Abelian groups and the respective Burnside varieties of groups of exponent $n$ and $1-n$. This theorem is extended to varieties of $n$-solvable groups.
Received: 18.04.1968
Citation:
V. M. Kotlov, “On varieties of $n$-solvable groups”, Mat. Zametki, 4:6 (1968), 629–634; Math. Notes, 4:6 (1968), 869–872
Linking options:
https://www.mathnet.ru/eng/mzm6782 https://www.mathnet.ru/eng/mzm/v4/i6/p629
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