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 [Tesi di dottorato] (Unpublished)

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Item Type:	Tesi di dottorato
Resource language:	English
Title:	Advances in Just-Non-$\mathfrak{X}$ Groups and Minimal Non-$\mathfrak{X}$ Groups
Creators:	Creators Email Russo, Francesco francesco.russo@dma.unina.it
Date:	November 2008
Number of Pages:	52
Institution:	Università degli Studi di Napoli Federico II
Department:	Matematica e applicazioni "Renato Caccioppoli"
Dottorato:	Scienze matematiche
Ciclo di dottorato:	20
Coordinatore del Corso di dottorato:	nome email Alvino, Angelo angelo.alvino@dma.unina.it
Tutor:	nome email De Giovanni, Francesco degiovan@unina.it
Date:	November 2008
Number of Pages:	52
Keywords:	JNX groups; MNX groups; centerfree groups; perfect groups
Settori scientifico-disciplinari del MIUR:	Area 01 - Scienze matematiche e informatiche > MAT/03 - Geometria Area 01 - Scienze matematiche e informatiche > MAT/02 - Algebra
Date Deposited:	09 Nov 2009 11:10
Last Modified:	01 Dec 2014 15:33
URI:	http://www.fedoa.unina.it/id/eprint/3149
DOI:	10.6092/UNINA/FEDOA/3149

Collection description

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

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