PAGINA INIZIALE RICERCA AREA AUTORI GUIDA ALL'USO

# Generalized FC-groups in Finitary Groups

Russo, Francesco (2007) Generalized FC-groups in Finitary Groups. In: Group Theory Seminars in Michigan State University, 30 Ott 2007, East Lansing, USA. (Inedito)

Full text disponibile come:

 PDF - Richiede un editor Pdf del tipo GSview, Xpdf o Adobe Acrobat Reader184Kb

## Abstract

A group $G$ is called $FC$-group if it is a group in which each element has finitely many conjugates. This condition is equivalent to require that $G/C_G(x^G)$ is a finite group for each element $x$ of $G$, where the symbol $x^G$ denotes the normal closure of the subgroup $\langle x \rangle$ in $G$. A group $G$ is called $CC$-group if $G/C_G(x^G)$ is a Chernikov group for each element $x$ of $G$. A group $G$ is called $PC$-group if $G/C_G(x^G)$ is a polycyclic-by-finite group for each element $x$ of $G$. $FC$-groups are subclasses of the classes of $CC$-groups and $PC$-groups. Here we investigate finitary linear groups which have generalized series of $CC$-groups and $PC$-groups.

Tipologia di documento: Contributo in atti di congresso o conferenza (Parlato) Conjugacy classes; linear PC-groups; linear CC-groups; PChypercentral series; CC-hypercentral series MSC 2000 : 20C07; 20D10; 20F24. Area 01 Scienze matematiche e informatiche > MAT/03 GEOMETRIAArea 01 Scienze matematiche e informatiche > MAT/02 ALGEBRA Accessibile 30 Ottobre 2007 31 No Workshop Group Theory Seminars in Michigan State University East Lansing, USA 30 Ott 2007 Inedito 1305 18 Marzo 2008 04 Febbraio 2009 09:42

Solo per gli Amministratori dell'archivio: edita il record