Russo, Francesco (2008) Advances in Just-Non-$\mathfrak{X}$ Groups and Minimal Non-$\mathfrak{X}$ Groups. [Tesi di dottorato] (Unpublished)

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Abstract

Let $\mathfrak{X}$ be a class of groups. A group which does not belong to $\mathfrak{X}$ but all of whose proper quotients belong to $\mathfrak{X}$ is called Just-Non-$\mathfrak{X}$ group. A group which does not belong to $\mathfrak{X}$ but all of whose proper subgroups belong to $\mathfrak{X}$ is called Minimal-Non-$\mathfrak{X}$ group. Just-Non-$\mathfrak{X}$ groups and Minimal-Non-$\mathfrak{X}$ groups are correlated by structural results for different choices of the class $\mathfrak{X}$. Many authors investigated these groups and there is a long standing line of research

Item Type: Tesi di dottorato
Uncontrolled Keywords: JNX groups; MNX groups; centerfree groups; perfect groups
Depositing User: Nicola Madonna
Date Deposited: 09 Nov 2009 11:10
Last Modified: 30 Apr 2014 19:35
URI: http://www.fedoa.unina.it/id/eprint/3149

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