Q -permutable subgroups of finite groups

• Published in: Український математичний журнал
• Date: 2011
• Main Authors: Pu, Zh., Miao, L.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/166390
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Q -permutable subgroups of finite groups / Zh. Pu, L. Miao // Український математичний журнал. — 2011. — Т. 63, № 11. — С. 1534–1543. — Бібліогр.: 16 назв. — англ.

A subgroup H of a group G is called Q-permutable in G if there exists a subgroup B of G such that (1) G=HB and (2) if H1 is a maximal subgroup of H containing HQG, then H1B=BH1<G, where HQG is the largest permutable subgroup of G contained in H. In this paper we prove that: Let F be a saturated f...