Finite group with given c-permutable subgroups
Vernadsky National Library of Ukraine
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Title |
Finite group with given c-permutable subgroups
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Creator |
Ahmad Alsheik Ahmad
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Description |
Following [1] we say that subgroups H and T of a group G are c-permutable in G if there exists an element x ∈ G such that HTˣ = TˣH. We prove that a finite soluble group G is supersoluble if and only if every maximal subgroup of every Sylow subgroup of G is c-permutable with all Hall subgroups of G. |
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Date |
2019-06-18T14:18:36Z
2019-06-18T14:18:36Z 2004 |
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Type |
Article
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Identifier |
Finite group with given c-permutable subgroups / Ahmad Alsheik Ahmad // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 2. — С. 9–16. — Бібліогр.: 12 назв. — англ.
1726-3255 2000 Mathematics Subject Classification: 20D10. http://dspace.nbuv.gov.ua/handle/123456789/156463 |
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Language |
en
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Relation |
Algebra and Discrete Mathematics
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Publisher |
Інститут прикладної математики і механіки НАН України
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