Finite groups with semi-subnormal Schmidt subgroups

• Published in: Algebra and Discrete Mathematics
• Date: 2020
• Main Authors: Kniahina, V.N., Monakhov, V.S.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188502
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Finite groups with semi-subnormal Schmidt subgroups / V.N. Kniahina, V.S. Monakhov // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 1. — С. 66–73. — Бібліогр.: 17 назв. — англ.

A Schmidt group is a non-nilpotent group in which every proper subgroup is nilpotent. A subgroup A of a group G is semi-normal in G if there exists a subgroup B of G such that G = AB and AB1 is a proper subgroup of G for every proper subgroup B1 of B. If A is either subnormal in G or is semi-normal...