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 Mat. Zametki: Year: Volume: Issue: Page: Find

 Mat. Zametki, 1976, Volume 19, Issue 1, Pages 91–98 (Mi mz7726)

Nilpotency class of a free group of the product of certain varieties

N. G. Shakhova

M. V. Lomonosov Moscow State University

Abstract: In this paper we calculate the class of a free group of finite rank of the product of two varieties, where the left factor is the variety of all Abelian groups of exponent $p^n$ and the right is the variety of all nilpotent groups of class at most $c$ and exponent $p^t$ (where $c<p$).

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English version:
Mathematical Notes, 1976, 19:1, 53–57

Bibliographic databases:

UDC: 519.4

Citation: N. G. Shakhova, “Nilpotency class of a free group of the product of certain varieties”, Mat. Zametki, 19:1 (1976), 91–98; Math. Notes, 19:1 (1976), 53–57

Citation in format AMSBIB
\Bibitem{Sha76} \by N.~G.~Shakhova \paper Nilpotency class of a~free group of the product of certain varieties \jour Mat. Zametki \yr 1976 \vol 19 \issue 1 \pages 91--98 \mathnet{http://mi.mathnet.ru/mz7726} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=412275} \zmath{https://zbmath.org/?q=an:0361.20039|0333.20021} \transl \jour Math. Notes \yr 1976 \vol 19 \issue 1 \pages 53--57 \crossref{https://doi.org/10.1007/BF01147618}