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Characterization of finite groups with some S-quasinormal subgroups of fixed order
Репозиторій DSpace/Manakin
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Characterization of finite groups with some S-quasinormal subgroups of fixed order
Інший ID:
2000 MSC:20D10, 20D30.
Посилання:
Characterization of finite groups with some S-quasinormal subgroups of fixed order / M. Asaad, P. Csorgo // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 2. — С. 161–167. — Бібліогр.: 11 назв. — англ.
Підтримка:
This paper was partly supported by Hungarian National Foundation for Scientific Research Grant # K84233.
Дата:
2012
Переглядів:
477
Завантажень:
135
Анотація:
Let G be a finite group. A subgroup of G is said to be S-quasinormal in G if it permutes with every Sylow subgroup of G. We fix in every non-cyclic Sylow subgroup P of the generalized Fitting subgroup a subgroup D such that 1 < |D| < |P| and characterize G under the assumption that all subgroups H of P with |H| = |D| are S-quasinormal in G. Some recent results are generalized.
