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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| Опубліковано в: : | Algebra and Discrete Mathematics |
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| Дата: | 2004 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2004
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/156463 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-156463 |
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dspace |
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Ahmad Alsheik Ahmad 2019-06-18T14:18:36Z 2019-06-18T14:18:36Z 2004 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. https://nasplib.isofts.kiev.ua/handle/123456789/156463 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Finite group with given c-permutable subgroups Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Finite group with given c-permutable subgroups |
| spellingShingle |
Finite group with given c-permutable subgroups Ahmad Alsheik Ahmad |
| 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 |
| author |
Ahmad Alsheik Ahmad |
| author_facet |
Ahmad Alsheik Ahmad |
| publishDate |
2004 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT ahmadalsheikahmad finitegroupwithgivencpermutablesubgroups |
| first_indexed |
2025-12-07T17:15:35Z |
| last_indexed |
2025-12-07T17:15:35Z |
| _version_ |
1850870580432076800 |