Finite group with given c-permutable subgroups
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 subgro...
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| Date: | 2004 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2004
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/156463 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |