Полная запись метаданных
Поле DC | Значение | Язык |
---|---|---|
dc.contributor.author | Hu, Bin | - |
dc.contributor.author | Huang, Jianhong | - |
dc.contributor.author | Skiba, A.N. | - |
dc.contributor.author | Скиба, А.Н. | - |
dc.date.accessioned | 2021-03-04T09:05:13Z | - |
dc.date.available | 2021-03-04T09:05:13Z | - |
dc.date.issued | 2018 | - |
dc.identifier.citation | Hu, B. On the generalized σ-Fitting subgroup of finite groups / Bin Hu, Jianhong Huang, A.N. Skiba // Rendiconti del Seminario Matematico della Università di Padova. – 2018. – Vol. 141. – P. 19-36. | ru |
dc.identifier.uri | http://elib.gsu.by/jspui/handle/123456789/17633 | - |
dc.description.abstract | Let σ = {σi|i ∈ I} be some partition of the set ℙ of all primes, and let G be a finite group. A chief factor H/K of G is said to be σ-central (in G) if the semidirect product (H/K) o (G/CG(H/K)) is a σi-group for some i = i(H/K); otherwise, it is called σ-eccentric (in G). We say that G is: σ-nilpotent if every chief factor of G is σ-central; σ-quasinilpotent if for every σ-eccentric chief factor H/K of G, every automorphism of H/K induced by an element of G is inner. The product of all normal σ-nilpotent (respectively σ-quasinilpotent) subgroups of G is said to be the σ-Fitting subgroup (respectively the generalized σ-Fitting subgroup) of G and we denote it by Fσ(G) (respectively by Fσ*(G)). Our main goal here is to study the relations between the subgroups Fσ(G) and Fσ*(G), and the influence of these two subgroups on the structure of G. | ru |
dc.language.iso | Английский | ru |
dc.subject | finite group | ru |
dc.subject | σ-nilpotent group | ru |
dc.subject | σ-quasinilpotent group | ru |
dc.subject | σ-Fitting subgroup | ru |
dc.subject | generalized σ-Fitting subgroup | ru |
dc.title | On the generalized σ-Fitting subgroup of finite groups | ru |
dc.type | Article | ru |
dc.root | Rendiconti del Seminario Matematico della Università di Padova | ru |
dc.volume | 141 | ru |
Располагается в коллекциях: | Статьи |
Файлы этого ресурса:
Файл | Описание | Размер | Формат | |
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Skiba_On the generalized -Fitting subgroup of finite groups.pdf | 263.52 kB | Adobe PDF | Просмотреть/Открыть |
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