GROUPS WHOSE PROPER SUBGROUPS HAVE RESTRICTED INFINITE CONJUGACY CLASSES
COLLOQUIUM MATHEMATICUM, cilt.150, sa.2, ss.281-291, 2017 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 150 Sayı: 2
- Basım Tarihi: 2017
- Doi Numarası: 10.4064/cm7015-1-2017
- Dergi Adı: COLLOQUIUM MATHEMATICUM
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.281-291
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
A group G is said to have the AFC-property if for each element x of G at least one of the indices vertical bar G : C-G (x)vertical bar and vertical bar C-G (x) : x vertical bar is finite. The class of AFC-groups, which generalize FC-groups, has been studied by De Falco et al. (2017) and Shalev (1994). Here the structure of groups whose proper subgroups have the AFC-property is investigated.