Abelian-by-FC-hypercentral groups

• Published in: Український математичний журнал
• Date: 1991
• Main Author: Tomkinson, M.J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 1991
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/153850
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Abelian-by-FC-hypercentral groups / M.J. Tomkinson // Український математичний журнал. — 1991. — Т. 43, № 7-8. — С. 1038–1042. — Бібліогр.: 15 назв. — англ.

A splitting Theorem for FC-hypercentral group G and ZG-module of finite rank is obtained. According to this Theorem, under certain conditions, every extention E of the ZG-module A by the group G is split and all the complements to A in E are conjugate in E. Для FC-гиперцентральной группы G и ZG-моду...