Geodesic
Groups whose proper subgroups have restricted infinite conjugacy classes
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
Colloquium Mathematicum, Tome 150 (2017) no. 2, pp. 281-291 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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 
@article{10_4064_cm7015_1_2017,
     author = {Maria De Falco and Francesco de Giovanni and Mahmut Kuzucuo\u{g}lu and Carmela Musella},
     title = {Groups whose proper subgroups have restricted infinite conjugacy classes},
     journal = {Colloquium Mathematicum},
     pages = {281--291},
     year = {2017},
     volume = {150},
     number = {2},
     doi = {10.4064/cm7015-1-2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm7015-1-2017/}
}
TY  - JOUR
AU  - Maria De Falco
AU  - Francesco de Giovanni
AU  - Mahmut Kuzucuoğlu
AU  - Carmela Musella
TI  - Groups whose proper subgroups have restricted infinite conjugacy classes
JO  - Colloquium Mathematicum
PY  - 2017
SP  - 281
EP  - 291
VL  - 150
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm7015-1-2017/
DO  - 10.4064/cm7015-1-2017
LA  - en
ID  - 10_4064_cm7015_1_2017
ER  - 
%0 Journal Article
%A Maria De Falco
%A Francesco de Giovanni
%A Mahmut Kuzucuoğlu
%A Carmela Musella
%T Groups whose proper subgroups have restricted infinite conjugacy classes
%J Colloquium Mathematicum
%D 2017
%P 281-291
%V 150
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/cm7015-1-2017/
%R 10.4064/cm7015-1-2017
%G en
%F 10_4064_cm7015_1_2017
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

Cité par Sources :