On Intersections of Abelian and Nilpotent Subgroups in Finite Groups. II
- Авторлар: Zenkov V.I.1,2
-
Мекемелер:
- Institute of Mathematics and Mechanics
- Ural Federal University
- Шығарылым: Том 105, № 3-4 (2019)
- Беттер: 366-375
- Бөлім: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151609
- DOI: https://doi.org/10.1134/S0001434619030076
- ID: 151609
Дәйексөз келтіру
Аннотация
Let G be a finite group, and let A and B be, respectively, an Abelian and a nilpotent subgroup in G. In the present paper, we complete the proof of the theorem claiming that there is an element g of G such that the intersection of A with the subgroup conjugate to B by g is contained in the Fitting subgroup of G.
Негізгі сөздер
Авторлар туралы
V. Zenkov
Institute of Mathematics and Mechanics; Ural Federal University
Хат алмасуға жауапты Автор.
Email: v1i9z52@mail.ru
Ресей, Ekaterinburg, 620990; Ekaterinburg, 620002
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