On finite groups with Hall normally embedded Schmidt subgroups

• Published in: Algebra and Discrete Mathematics
• Date: 2018
• Main Authors: Kniahina, V.N., Monakhov, V.S.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188376
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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 fi...