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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 1, Pages 69–72 (Mi smj1168)  
This article is cited in 1 scientific paper (total in 1 paper)

On solvable groups of exponent 4

G. S. Deryabinaa, A. N. Krasilnikovb

a N. E. Bauman Moscow State Technical University
b Moscow State Pedagogical University
Full-text PDF (168 kB) Citations (1)
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Abstract: Given an arbitrary identity $v=1$, there exists a positive integer $N=N(v)$ such that for every metabelian group $G$ and every generating set $A$ for $G$ the following holds: If each subgroup of $G$ generated by at most $N$ elements of $A$ satisfies the identity $v=1$ then the group $G$ itself satisfies this identity. A similar assertion fails for center-by-metabelian groups. This answers Bludov's question.
Keywords: solvable group, identity, group of exponent 4.
Received: 15.05.2002
English version:
Siberian Mathematical Journal, 2003, Volume 44, Issue 1, Pages 58–60
DOI: https://doi.org/10.1023/A:1022060219947
Bibliographic databases:
UDC: 512.543
Language: Russian
Citation: G. S. Deryabina, A. N. Krasilnikov, “On solvable groups of exponent 4”, Sibirsk. Mat. Zh., 44:1 (2003), 69–72; Siberian Math. J., 44:1 (2003), 58–60
Citation in format AMSBIB
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\pages 69--72
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\transl
\jour Siberian Math. J.
\yr 2003
\vol 44
\issue 1
\pages 58--60
\crossref{https://doi.org/10.1023/A:1022060219947}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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