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 [Tesi di dottorato] (Unpublished)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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