Let $\mathfrak{X}$ be a class of groups. A group $G$ is said to be \textit{minimal non-$\mathfrak{X}$} if all proper subgroups of $G$ are $\mathfrak{X}$-groups but $G$ itself is not. The aim of this article is to study the class of minimal non-$FC^n$-groups, where $FC^n$ ($n$ is a positive integer) is a class of generalized FC-groups introduced in [F. de Giovanni, A. Russo, G. Vincenzi, Groups with restricted conjugacy classes, Serdica Math. J. 28 (2002) 241-254].
Groups Whose Proper Subgroups are Generalized $FC$-Groups
VINCENZI, Giovanni
2011-01-01
Abstract
Let $\mathfrak{X}$ be a class of groups. A group $G$ is said to be \textit{minimal non-$\mathfrak{X}$} if all proper subgroups of $G$ are $\mathfrak{X}$-groups but $G$ itself is not. The aim of this article is to study the class of minimal non-$FC^n$-groups, where $FC^n$ ($n$ is a positive integer) is a class of generalized FC-groups introduced in [F. de Giovanni, A. Russo, G. Vincenzi, Groups with restricted conjugacy classes, Serdica Math. J. 28 (2002) 241-254].File in questo prodotto:
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