A group G is said to have the AFC-property if for each element x of G at least one of the indices |G:$C_G(x)$| and |$C_G(x)$:⟨x⟩| 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.

Groups whose proper subgroups have restricted infinite conjugacy classes

M. De Falco;F. de Giovanni;KUZUCUOGLU, MAHMUT;C. Musella
2017

Abstract

A group G is said to have the AFC-property if for each element x of G at least one of the indices |G:$C_G(x)$| and |$C_G(x)$:⟨x⟩| 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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/721960
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