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On S-quasinormally embedded subgroups of finite groups
Репозиторій DSpace/Manakin
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On S-quasinormally embedded subgroups of finite groups
Інший ID:
2010 Mathematics Subject Classification:20D10, 20D20, 20D25.
Посилання:
On S-quasinormally embedded subgroups of finite groups / Kh.A. Al-Sharo, O. Shemetkova, Xiaolan Yi // Algebra and Discrete Mathematics. — 2012. — Vol. 13, № 1. — С. 18–25. — Бібліогр.: 20 назв. — англ.
Підтримка:
Research of the third author (corresponding author) was supported by NNSF of China (grant no. 11101369).
Дата:
2012
Переглядів:
616
Завантажень:
167
Анотація:
Let G be a finite group. A subgroup A is called:1) S-quasinormal in G if A is permutable with all Sylow subgroups in G 2) S-quasinormally embedded in G if every Sylow subgroup of A is a Sylow subgroup of some S-quasinormal subgroup of G. Let BseG be the subgroup generated by all the subgroups of B which are S-quasinormally embedded in G. A subgroup B is called SE-supplemented in G if there exists a subgroup T such that G = BT and B ∩ T ≤ BseG. The main result of the paper is the following.
