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 / De Falco, M.; de Giovanni, F.; Kuzucuoglu, Mahmut; Musella, C.. - In: COLLOQUIUM MATHEMATICUM. - ISSN 0010-1354. - 150:(2017), pp. 281-291. [10.4064/cm7015-1-2017]
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.File in questo prodotto:
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