Geodesic
Groups whose proper subgroups have restricted infinite conjugacy classes
Maria De Falco1 ; Francesco de Giovanni1 ; Mahmut Kuzucuoğlu2 ; Carmela Musella1
1 Dipartimento di Matematica e Applicazioni Università di Napoli “Federico II” Napoli, Italy
2 Department of Mathematics Middle East Technical University Ankara, Turkey
Colloquium Mathematicum, Tome 150 (2017) no. 2, pp. 281-291.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

A group $G$ is said to have the $\mathit{AFC} $-property if for each element $x$ of $G$ at least one of the indices $|G:C_G(x)|$ and $|C_G(x):\langle x\rangle|$ is finite. The class of $\mathit{AFC} $-groups, which generalize $\mathit{FC} $-groups, has been studied by De Falco et al. (2017) and Shalev (1994). Here the structure of groups whose proper subgroups have the $\mathit{AFC} $-property is investigated.
DOI : 10.4064/cm7015-1-2017
Keywords: group said have mathit afc property each element nbsp least indices x langle rangle finite class mathit afc groups which generalize mathit groups has studied falco shalev here structure groups whose proper subgroups have mathit afc property investigated

Maria De Falco 1 ; Francesco de Giovanni 1 ; Mahmut Kuzucuoğlu 2 ; Carmela Musella 1

1 Dipartimento di Matematica e Applicazioni Università di Napoli “Federico II” Napoli, Italy
2 Department of Mathematics Middle East Technical University Ankara, Turkey 
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Maria De Falco; Francesco de Giovanni; Mahmut Kuzucuoğlu; Carmela Musella. Groups whose proper subgroups have restricted infinite conjugacy classes. Colloquium Mathematicum, Tome 150 (2017) no. 2, pp. 281-291. doi : 10.4064/cm7015-1-2017. http://geodesic.mathdoc.fr/articles/10.4064/cm7015-1-2017/

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