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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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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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irk-123456789-1564632019-06-19T01:27:35Z Finite group with given c-permutable subgroups Ahmad Alsheik Ahmad 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. 2004 Article 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 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Ahmad Alsheik Ahmad |
| spellingShingle |
Ahmad Alsheik Ahmad Finite group with given c-permutable subgroups Algebra and Discrete Mathematics |
| author_facet |
Ahmad Alsheik Ahmad |
| author_sort |
Ahmad Alsheik Ahmad |
| title |
Finite group with given c-permutable subgroups |
| title_short |
Finite group with given c-permutable subgroups |
| title_full |
Finite group with given c-permutable subgroups |
| title_fullStr |
Finite group with given c-permutable subgroups |
| title_full_unstemmed |
Finite group with given c-permutable subgroups |
| title_sort |
finite group with given c-permutable subgroups |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2004 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/156463 |
| citation_txt |
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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT ahmadalsheikahmad finitegroupwithgivencpermutablesubgroups |
| first_indexed |
2023-05-20T17:49:37Z |
| last_indexed |
2023-05-20T17:49:37Z |
| _version_ |
1796154180955537408 |