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Algebra i logika, 2006, Volume 45, Number 1, Pages 114–125 (Mi al121)  
This article is cited in 2 scientific papers (total in 2 papers)

Using Fox Derivatives in Treating Groups of the Form $F/[R',F]$

E. I. Timoshenko

Novosibirsk State University of Architecture and Civil Engineering
Full-text PDF (167 kB) Citations (2) English version article
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Abstract: For a factor group with respect to periodic part of a group of the form $F/[R',F]$, an embedding in the matrix group is defined. The criteria for a matrix to belong to an image of this group and for elements to be conjugate are specified. Some statements having a direct bearing on groups of the form in question are proved. Application of the results obtained allows us to refine the answer in [7] to a question by O. Chapuis concerning the universal classification of $\forall$-free soluble groups with two generators.
Keywords: Fox derivatives, soluble group, universal theory, Magnus–Kuz'min embedding.
Received: 13.09.2005
English version:
Algebra and Logic, 2006, Volume 45, Issue 1, Pages 67–74
DOI: https://doi.org/10.1007/s10469-006-0006-7
Bibliographic databases:
UDC: 512.5
Language: Russian
Citation: E. I. Timoshenko, “Using Fox Derivatives in Treating Groups of the Form $F/[R',F]$”, Algebra Logika, 45:1 (2006), 114–125; Algebra and Logic, 45:1 (2006), 67–74
Citation in format AMSBIB
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\jour Algebra Logika
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\vol 45
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\pages 114--125
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\transl
\jour Algebra and Logic
\yr 2006
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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