GROUPS WHOSE PROPER SUBGROUPS HAVE RESTRICTED INFINITE CONJUGACY CLASSES

2017-01-01
De Falco, Maria
De Giovanni, Francesco
Kuzucuoğlu, Mahmut
Musella, Carmela
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.

Citation Formats
M. De Falco, F. De Giovanni, M. Kuzucuoğlu, and C. Musella, “GROUPS WHOSE PROPER SUBGROUPS HAVE RESTRICTED INFINITE CONJUGACY CLASSES,” COLLOQUIUM MATHEMATICUM, vol. 150, no. 2, pp. 281–291, 2017, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39758.