A note on c-normal subgroups of finite groups

• Published in: Algebra and Discrete Mathematics
• Date: 2005
• Main Author: Skiba, A.N.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/157201
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A note on c-normal subgroups of finite groups / A.N. Skiba // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 3. — С. 85–95. — Бібліогр.: 10 назв. — англ.

Let G be a finite group. We fix in every noncyclic Sylow subgroup P of G some its subgroup D satisfying 1 <
 |D| < |P| and study the structure of G under assumption that all
 subgroups H of P with |H| = |D| are c-normal in G.