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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2013 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2013
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862588375869947904 |
|---|---|
| author | Monakhov, V.S. Gritsuk, D.V. |
| author_facet | Monakhov, V.S. Gritsuk, D.V. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | 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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| first_indexed | 2025-11-27T01:39:22Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152351 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-27T01:39:22Z |
| publishDate | 2013 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Monakhov, V.S. Gritsuk, D.V. 2019-06-10T11:07:57Z 2019-06-10T11:07:57Z 2013 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. 1726-3255 2010 MSC:20D10, 20D20, 20F16. https://nasplib.isofts.kiev.ua/handle/123456789/152351 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On derived π-length of a finite π-solvable group with supersolvable π-Hall subgroup Article published earlier |
| spellingShingle | On derived π-length of a finite π-solvable group with supersolvable π-Hall subgroup Monakhov, V.S. Gritsuk, D.V. |
| title | On derived π-length of a finite π-solvable group with supersolvable π-Hall subgroup |
| title_full | On derived π-length of a finite π-solvable group with supersolvable π-Hall subgroup |
| title_fullStr | On derived π-length of a finite π-solvable group with supersolvable π-Hall subgroup |
| title_full_unstemmed | On derived π-length of a finite π-solvable group with supersolvable π-Hall subgroup |
| title_short | On derived π-length of a finite π-solvable group with supersolvable π-Hall subgroup |
| title_sort | on derived π-length of a finite π-solvable group with supersolvable π-hall subgroup |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152351 |
| work_keys_str_mv | AT monakhovvs onderivedπlengthofafiniteπsolvablegroupwithsupersolvableπhallsubgroup AT gritsukdv onderivedπlengthofafiniteπsolvablegroupwithsupersolvableπhallsubgroup |