A new characterization of groups with central chief factors

• Published in: Algebra and Discrete Mathematics
• Date: 2009
• Main Authors: Juriaans, O.S., Raphael, D.M.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154638
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A new characterization of groups with central chief factors / O.S. Juriaans, D.M. Raphael // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 3. — С. 62–68. — Бібліогр.: 7 назв. — англ.

In [1] it is proved that a locally nilpotent group is an (X)-group arising the question whether the converse holds. In this paper we derive some interesting properties and give a complete characterization of (X)-groups. As a consequence we obtain a new characterization of groups whose chief factors...