On p-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups
Let G be a finite group and P be a p-subgroup of G. If P is a Sylow subgroup of some normal subgroup of G, then we say that P is normally embedded in G. Groups with normally embedded maximal subgroups of Sylow p-subgroup, where (|G|, p − 1) = 1, are studied. In particular, the p-nilpotency of such g...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2020 |
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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2020
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/188509 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On p-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups / A. Trofimuk // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 1. — С. 139–146. — Бібліогр.: 9 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862543313791352832 |
|---|---|
| author | Trofimuk, A. |
| author_facet | Trofimuk, A. |
| citation_txt | On p-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups / A. Trofimuk // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 1. — С. 139–146. — Бібліогр.: 9 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | Let G be a finite group and P be a p-subgroup of G. If P is a Sylow subgroup of some normal subgroup of G, then we say that P is normally embedded in G. Groups with normally embedded maximal subgroups of Sylow p-subgroup, where (|G|, p − 1) = 1, are studied. In particular, the p-nilpotency of such groups is proved.
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| first_indexed | 2025-11-24T21:53:34Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188509 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-24T21:53:34Z |
| publishDate | 2020 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Trofimuk, A. 2023-03-03T16:13:45Z 2023-03-03T16:13:45Z 2020 On p-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups / A. Trofimuk // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 1. — С. 139–146. — Бібліогр.: 9 назв. — англ. 1726-3255 DOI:10.12958/adm1128 2010 MSC: 20D10 https://nasplib.isofts.kiev.ua/handle/123456789/188509 Let G be a finite group and P be a p-subgroup of G. If P is a Sylow subgroup of some normal subgroup of G, then we say that P is normally embedded in G. Groups with normally embedded maximal subgroups of Sylow p-subgroup, where (|G|, p − 1) = 1, are studied. In particular, the p-nilpotency of such groups is proved. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On p-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups Article published earlier |
| spellingShingle | On p-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups Trofimuk, A. |
| title | On p-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups |
| title_full | On p-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups |
| title_fullStr | On p-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups |
| title_full_unstemmed | On p-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups |
| title_short | On p-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups |
| title_sort | on p-nilpotency of finite group with normally embedded maximal subgroups of some sylow subgroups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188509 |
| work_keys_str_mv | AT trofimuka onpnilpotencyoffinitegroupwithnormallyembeddedmaximalsubgroupsofsomesylowsubgroups |