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Fundam. Prikl. Mat., 2012, Volume 17, Issue 5, Pages 225–235 (Mi fpm1445)  

The derived $\pi$-length, nilpotent $\pi$-length, and simple $\pi$-length of finite $\pi$-soluble groups

O. A. Shpyrko

Lomonosov Moscow State University, Chernomorsky Branch, Sevastopol'

Abstract: The concept of the derived $\pi$-length for finite $\pi$-soluble groups is introduced and its elementary properties are described. The dependence between the $\pi$-length, nilpotent $\pi$-length, and derived $\pi$-length, and also between the derived and nilpotent lengths of a $\pi$-Hall subgroup is determined.

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English version:
Journal of Mathematical Sciences (New York), 2013, 193:4, 631–638

Document Type: Article
UDC: 512.542

Citation: O. A. Shpyrko, “The derived $\pi$-length, nilpotent $\pi$-length, and simple $\pi$-length of finite $\pi$-soluble groups”, Fundam. Prikl. Mat., 17:5 (2012), 225–235; J. Math. Sci., 193:4 (2013), 631–638

Citation in format AMSBIB
\Bibitem{Shp12}
\by O.~A.~Shpyrko
\paper The derived $\pi$-length, nilpotent $\pi$-length, and simple $\pi$-length of finite $\pi$-soluble groups
\jour Fundam. Prikl. Mat.
\yr 2012
\vol 17
\issue 5
\pages 225--235
\mathnet{http://mi.mathnet.ru/fpm1445}
\transl
\jour J. Math. Sci.
\yr 2013
\vol 193
\issue 4
\pages 631--638
\crossref{https://doi.org/10.1007/s10958-013-1490-7}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84899430163}


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  • Фундаментальная и прикладная математика
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