Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
On finite groups with Hall normally embedded Schmidt subgroups
Репозиторій DSpace/Manakin
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On finite groups with Hall normally embedded Schmidt subgroups
Інший ID:
2010 MSC: 20E28, 20E32, 20E34.
Посилання:
On finite groups with Hall normally embedded Schmidt subgroups / V.N. Kniahina, V.S. Monakhov // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 90–96. — Бібліогр.: 15 назв. — англ.
Дата:
2018
Переглядів:
193
Завантажень:
94
Анотація:
A subgroup H of a finite group G is said to be Hall normally embedded in G if there is a normal subgroup N of G such that H is a Hall subgroup of N. A Schmidt group is a non-nilpotent finite group whose all proper subgroups are nilpotent. In this paper, we prove that if each Schmidt subgroup of a finite group G is Hall normally embedded in G, then the derived subgroup of G is nilpotent.
