GROUPS WHOSE PROPER SUBGROUPS HAVE RESTRICTED INFINITE CONJUGACY CLASSES

Date

2017-01-01

Author

De Falco, Maria
De Giovanni, Francesco
Kuzucuoğlu, Mahmut
Musella, Carmela

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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.

Subject Keywords

AFC-group, Minimal non-AFC group, FC-centre

URI

https://hdl.handle.net/11511/39758

Journal

COLLOQUIUM MATHEMATICUM

DOI

https://doi.org/10.4064/cm7015-1-2017

Collections

Department of Mathematics, Article

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Citation Formats

M. De Falco, F. De Giovanni, M. Kuzucuoğlu, and C. Musella, “GROUPS WHOSE PROPER SUBGROUPS HAVE RESTRICTED INFINITE CONJUGACY CLASSES,” COLLOQUIUM MATHEMATICUM, pp. 281–291, 2017, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39758.