On the permutability of Sylow subgroups with derived subgroups of B-subgroups
A finite non-nilpotent group G is called a B-group if every proper subgroup of the quotient group G/Φ(G) is nilpotent. We establish the r-solvability of the group in which some Sylow r-subgroup permutes with the derived subgroups of 2-nilpotent (or 2-closed) B-subgroups of even order and the solvab...
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Belarusian State University
2019-04-01
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| Series: | Журнал Белорусского государственного университета: Математика, информатика |
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| Online Access: | https://journals.bsu.by/index.php/mathematics/article/view/924 |
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doaj-4fe0a460269948edb6b18b3832283bbb2020-11-25T03:01:47ZbelBelarusian State University Журнал Белорусского государственного университета: Математика, информатика 2520-65082617-39562019-04-011121710.33581/2520-6508-2019-1-12-17924On the permutability of Sylow subgroups with derived subgroups of B-subgroupsEkaterina V. Zubei0Francisk Skorina Gomel State University, 104 Saveckaja Street, Gomel 246007, BelarusA finite non-nilpotent group G is called a B-group if every proper subgroup of the quotient group G/Φ(G) is nilpotent. We establish the r-solvability of the group in which some Sylow r-subgroup permutes with the derived subgroups of 2-nilpotent (or 2-closed) B-subgroups of even order and the solvability of the group in which the derived subgroups of 2-closed and 2-nilpotent B-subgroups of even order are permutable.https://journals.bsu.by/index.php/mathematics/article/view/924finite groupr-solvable groupsylow subgroupb-groupthe derived subgrouppermutable subgroups |
| collection |
DOAJ |
| language |
Belarusian |
| format |
Article |
| sources |
DOAJ |
| author |
Ekaterina V. Zubei |
| spellingShingle |
Ekaterina V. Zubei On the permutability of Sylow subgroups with derived subgroups of B-subgroups Журнал Белорусского государственного университета: Математика, информатика finite group r-solvable group sylow subgroup b-group the derived subgroup permutable subgroups |
| author_facet |
Ekaterina V. Zubei |
| author_sort |
Ekaterina V. Zubei |
| title |
On the permutability of Sylow subgroups with derived subgroups of B-subgroups |
| title_short |
On the permutability of Sylow subgroups with derived subgroups of B-subgroups |
| title_full |
On the permutability of Sylow subgroups with derived subgroups of B-subgroups |
| title_fullStr |
On the permutability of Sylow subgroups with derived subgroups of B-subgroups |
| title_full_unstemmed |
On the permutability of Sylow subgroups with derived subgroups of B-subgroups |
| title_sort |
on the permutability of sylow subgroups with derived subgroups of b-subgroups |
| publisher |
Belarusian State University |
| series |
Журнал Белорусского государственного университета: Математика, информатика |
| issn |
2520-6508 2617-3956 |
| publishDate |
2019-04-01 |
| description |
A finite non-nilpotent group G is called a B-group if every proper subgroup of the quotient group G/Φ(G) is nilpotent. We establish the r-solvability of the group in which some Sylow r-subgroup permutes with the derived subgroups of 2-nilpotent (or 2-closed) B-subgroups of even order and the solvability of the group in which the derived subgroups of 2-closed and 2-nilpotent B-subgroups of even order are permutable. |
| topic |
finite group r-solvable group sylow subgroup b-group the derived subgroup permutable subgroups |
| url |
https://journals.bsu.by/index.php/mathematics/article/view/924 |
| work_keys_str_mv |
AT ekaterinavzubei onthepermutabilityofsylowsubgroupswithderivedsubgroupsofbsubgroups |
| _version_ |
1724692059983446016 |