On finite groups with Hall normally embedded Schmidt subgroups
A subgroup H of a finite group G is said to be Hall normally embedded in G if there is a normal subgroup N of G such that H is a Hall subgroup of N. A Schmidt group is a non-nilpotent finite group whose all proper subgroups are nilpotent. In this paper, we prove that if each Schmidt subgroup of a fi...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2018 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2018
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/188376 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On finite groups with Hall normally embedded Schmidt subgroups / V.N. Kniahina, V.S. Monakhov // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 90–96. — Бібліогр.: 15 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862589314546794496 |
|---|---|
| author | Kniahina, V.N. Monakhov, V.S. |
| author_facet | Kniahina, V.N. Monakhov, V.S. |
| citation_txt | On finite groups with Hall normally embedded Schmidt subgroups / V.N. Kniahina, V.S. Monakhov // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 90–96. — Бібліогр.: 15 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | A subgroup H of a finite group G is said to be Hall normally embedded in G if there is a normal subgroup N of G such that H is a Hall subgroup of N. A Schmidt group is a non-nilpotent finite group whose all proper subgroups are nilpotent. In this paper, we prove that if each Schmidt subgroup of a finite group G is Hall normally embedded in G, then the derived subgroup of G is nilpotent.
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| first_indexed | 2025-11-27T02:38:25Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188376 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-27T02:38:25Z |
| publishDate | 2018 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Kniahina, V.N. Monakhov, V.S. 2023-02-26T12:26:48Z 2023-02-26T12:26:48Z 2018 On finite groups with Hall normally embedded Schmidt subgroups / V.N. Kniahina, V.S. Monakhov // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 90–96. — Бібліогр.: 15 назв. — англ. 1726-3255 2010 MSC: 20E28, 20E32, 20E34. https://nasplib.isofts.kiev.ua/handle/123456789/188376 A subgroup H of a finite group G is said to be Hall normally embedded in G if there is a normal subgroup N of G such that H is a Hall subgroup of N. A Schmidt group is a non-nilpotent finite group whose all proper subgroups are nilpotent. In this paper, we prove that if each Schmidt subgroup of a finite group G is Hall normally embedded in G, then the derived subgroup of G is nilpotent. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On finite groups with Hall normally embedded Schmidt subgroups Article published earlier |
| spellingShingle | On finite groups with Hall normally embedded Schmidt subgroups Kniahina, V.N. Monakhov, V.S. |
| title | On finite groups with Hall normally embedded Schmidt subgroups |
| title_full | On finite groups with Hall normally embedded Schmidt subgroups |
| title_fullStr | On finite groups with Hall normally embedded Schmidt subgroups |
| title_full_unstemmed | On finite groups with Hall normally embedded Schmidt subgroups |
| title_short | On finite groups with Hall normally embedded Schmidt subgroups |
| title_sort | on finite groups with hall normally embedded schmidt subgroups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188376 |
| work_keys_str_mv | AT kniahinavn onfinitegroupswithhallnormallyembeddedschmidtsubgroups AT monakhovvs onfinitegroupswithhallnormallyembeddedschmidtsubgroups |