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 [Tesi di dottorato] (Unpublished)

[img]
Preview
PDF (Tesi)
russo_francesco_scienze_matematiche_xx.pdf

Download (302kB) | Preview
Item Type: Tesi di dottorato
Language: English
Title: Advances in Just-Non-$\mathfrak{X}$ Groups and Minimal Non-$\mathfrak{X}$ Groups
Creators:
CreatorsEmail
Russo, Francescofrancesco.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"
PHD name: Scienze matematiche
PHD cycle: 20
PHD Coordinator:
nameemail
Alvino, Angeloangelo.alvino@dma.unina.it
Tutor:
nameemail
De Giovanni, Francescodegiovan@unina.it
Date: November 2008
Number of Pages: 52
Uncontrolled Keywords: JNX groups; MNX groups; centerfree groups; perfect groups
MIUR S.S.D.: 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

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

Actions (login required)

View Item View Item