Geodesic
On derived $\pi$-length of a finite $\pi$-solvable group with supersolvable $\pi$-Hall subgroup
Algebra and discrete mathematics, Tome 16 (2013) no. 2, pp. 233-241

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It is proved that if $\pi$-Hall subgroup is a supersolvable group then the derived $\pi$-length of a $\pi$-solvable group $G$ is at most $1+ \max_{r\in \pi}l_r^a(G),$ where $l_r^a(G)$ is the derived $r$-length of a $\pi$-solvable group $G.$
Keywords: finite group, $\pi$-Hall subgroup, derived $\pi$-length.
Mots-clés : $\pi$-soluble group, supersolvable group 
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     author = {V. S. Monakhov and D. V. Gritsuk},
     title = {On derived $\pi$-length of a finite $\pi$-solvable group with  supersolvable $\pi${-Hall} subgroup},
     journal = {Algebra and discrete mathematics},
     pages = {233--241},
     publisher = {mathdoc},
     volume = {16},
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     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2013_16_2_a7/}
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V. S. Monakhov; D. V. Gritsuk. On derived $\pi$-length of a finite $\pi$-solvable group with  supersolvable $\pi$-Hall subgroup. Algebra and discrete mathematics, Tome 16 (2013) no. 2, pp. 233-241. http://geodesic.mathdoc.fr/item/ADM_2013_16_2_a7/