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...
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2004 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2004
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| Online Access: | https://nasplib.isofts.kiev.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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862709114691387392 |
|---|---|
| author | Ahmad Alsheik Ahmad |
| author_facet | Ahmad Alsheik Ahmad |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-12-07T17:15:35Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-156463 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T17:15:35Z |
| publishDate | 2004 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Finite group with given c-permutable subgroups Ahmad Alsheik Ahmad |
| title | 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_short | Finite group with given c-permutable subgroups |
| title_sort | finite group with given c-permutable subgroups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/156463 |
| work_keys_str_mv | AT ahmadalsheikahmad finitegroupwithgivencpermutablesubgroups |