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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| Видавець: | Інститут прикладної математики і механіки НАН України |
|---|---|
| Дата: | 2018 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2018
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/188376 |
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| 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. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-188376 |
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dspace |
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irk-123456789-1883762023-02-27T01:27:45Z On finite groups with Hall normally embedded Schmidt subgroups Kniahina, V.N. Monakhov, V.S. 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. 2018 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/188376 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Kniahina, V.N. Monakhov, V.S. |
| spellingShingle |
Kniahina, V.N. Monakhov, V.S. On finite groups with Hall normally embedded Schmidt subgroups Algebra and Discrete Mathematics |
| author_facet |
Kniahina, V.N. Monakhov, V.S. |
| author_sort |
Kniahina, V.N. |
| title |
On finite groups with Hall normally embedded Schmidt subgroups |
| title_short |
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_sort |
on finite groups with hall normally embedded schmidt subgroups |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2018 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/188376 |
| 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. |
| series |
Algebra and Discrete Mathematics |
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AT kniahinavn onfinitegroupswithhallnormallyembeddedschmidtsubgroups AT monakhovvs onfinitegroupswithhallnormallyembeddedschmidtsubgroups |
| first_indexed |
2023-10-18T23:08:14Z |
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2023-10-18T23:08:14Z |
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1796157342977359872 |