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On derived π-length of a finite π-solvable group with supersolvable π-Hall subgroup

It is proved that if π-Hall subgroup is a supersolvable group then the derived π-length of a π-solvable group G is at most 1 + maxr∈π lαr(G), where lαr(G) is the derived r-length of a π-solvable group G.

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Bibliographic Details
Published in:	Algebra and Discrete Mathematics
Date:	2013
Main Authors:	Monakhov, V.S., Gritsuk, D.V.
Format:	Article
Language:	English
Published:	Інститут прикладної математики і механіки НАН України 2013
Online Access:	https://nasplib.isofts.kiev.ua/handle/123456789/152351
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Journal Title:	Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:	On derived π-length of a finite π-solvable group with supersolvable π-Hall subgroup / V.S. Monakhov, D.V. Gritsuk // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 2. — С. 233–241. — Бібліогр.: 16 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine

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