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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| Datum: | 2013 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2013
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| Schriftenreihe: | Algebra and Discrete Mathematics |
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/152351 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |