On p-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups

• Published in: Algebra and Discrete Mathematics
• Date: 2020
• Main Author: Trofimuk, A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188509
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On p-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups / A. Trofimuk // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 1. — С. 139–146. — Бібліогр.: 9 назв. — англ.

Let G be a finite group and P be a p-subgroup of G. If P is a Sylow subgroup of some normal subgroup of G, then we say that P is normally embedded in G. Groups with normally embedded maximal subgroups of Sylow p-subgroup, where (|G|, p − 1) = 1, are studied. In particular, the p-nilpotency of such g...