Groups with many generalized FC-subgroup

• Published in: Algebra and Discrete Mathematics
• Date: 2009
• Main Authors: Russo, A., Vincenzi, G.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154643
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Groups with many generalized FC-subgroup / A. Russo, G. Vincenzi // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 4. — С. 158–166. — Бібліогр.: 17 назв. — англ.

Let FC⁰ be the class of all finite groups, and for each non-negative integer n define by induction the group class FCⁿ⁺¹ consisting of all groups G such that the factor group G/CG(xG) has the property FCⁿ for all elements x of G. Clearly, FC¹ is the class of FC-groups and every nilpotent group with...