Finite group with given c-permutable subgroups

• Published in: Algebra and Discrete Mathematics
• Date: 2004
• Main Author: Ahmad Alsheik Ahmad
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2004
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156463
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Finite group with given c-permutable subgroups / Ahmad Alsheik Ahmad // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 2. — С. 9–16. — Бібліогр.: 12 назв. — англ.

Following [1] we say that subgroups H and T of
 a group G are c-permutable in G if there exists an element x ∈ G 
 such that HTˣ = TˣH. We prove that a finite soluble group G is
 supersoluble if and only if every maximal subgroup of every Sylow
 subgroup of G is c...