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Meždunarodnyj naučno-issledovatel'skij žurnal, 2015, , Issue 11-3(42), Pages 15–18
DOI: https://doi.org/10.18454/IRJ.2015.42.130 (Mi irj93) 		 
PHYSICS AND MATHEMATICS

Sufficient conditions of instable elements of free nilpotent group

A. I. Kovyrshina, E. S. Lapshina

Irkutsk State University
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DOI: https://doi.org/10.18454/IRJ.2015.42.130
Abstract: Search stable elements of free nilpotent groups closely associated with unstable elements in these groups. In establishing sufficient conditions for the existence of unstable elements much easier search for stability. The article describes the set of a particular type of basic commutators, among the linear combinations which are not stable elements. We consider the free nilpotent group of rank 3 class 12.
Keywords: automorphisms groups, fixed points, nilpotent groups.
Document Type: Article
Language: Russian
Citation: A. I. Kovyrshina, E. S. Lapshina, “Sufficient conditions of instable elements of free nilpotent group”, Meždunar. nauč.-issled. žurn., 2015, no. 11-3(42), 15–18
Citation in format AMSBIB
\Bibitem{KovLap15}
\by A.~I.~Kovyrshina, E.~S.~Lapshina
\paper Sufficient conditions of instable elements of free nilpotent group
\jour Me{\v z}dunar. nau{\v{c}}.-issled. {\v z}urn.
\yr 2015
\issue 11-3(42)
\pages 15--18
\mathnet{http://mi.mathnet.ru/irj93}
\crossref{https://doi.org/10.18454/IRJ.2015.42.130}
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