On Finite Extensions of FC-Groups in the Class of
NF-Groups
Mourad Chelgham;Mohamed Kerada;Lamnouar Noui;Serkan Araci
【期刊名称】《代数集刊（英文版）》 【年(卷),期】2019(026)001
【摘要】Let F,N,A and N2 denote the properties of being finite,nilpotent,abelian
and
nilpotent
of
classes
at
most
2,respectively.Firstly we consider the class of finitely generated FN-groups.We show that the property FC is closed under finite extensions,and extend this result to finitely generated NF-groups.Secondly we prove that a finitely generated NF-group G is in the class ((FC)F,∞) if and only if G is an FA-group.Finally we prove that a finitely generated NF-group in the class ((FC)F,oo)* is an FN2-group.Moreover,G/Z2(G) is finite. 【总页数】8页(23-30) 【关键词】
【作者】Mourad Chelgham;Mohamed Kerada;Lamnouar Noui;Serkan Araci
【作者单位】Departement of Mathematics, Freres Mentouri Constantinel University, Algeria LMAM Laboratory and Department of Mathematics Mohamed Seddik Ben Yahia University, Jijel, Algeria;LMAM Laboratory and Department of Mathematics Mohamed Seddik Ben Yahia University,
On Finite Extensions of FC-Groups in the Class of NF-Groups
