A group G is said to be an AFC-group if for each element x of G at least one of the indices |$C_G(x)$:| and |G:$C_G(x)$| is finite. Groups with this property appear as a natural generalization of those with finite conjugacy classes, and the aim of this paper is to investigate the structure of AFC-groups, and in particular the behaviour of their FC-centre.
Groups with restrictions on infinite conjugacy classes / DE FALCO, Maria; DE GIOVANNI, Francesco; Musella, Carmela; Trabelsi, N.. - In: MEDITERRANEAN JOURNAL OF MATHEMATICS. - ISSN 1660-5454. - 14:(2017). [10.1007/s00009-017-0852-7]
Groups with restrictions on infinite conjugacy classes
DE FALCO, MARIA;DE GIOVANNI, FRANCESCO;MUSELLA, CARMELA;
2017
Abstract
A group G is said to be an AFC-group if for each element x of G at least one of the indices |$C_G(x)$:| and |G:$C_G(x)$| is finite. Groups with this property appear as a natural generalization of those with finite conjugacy classes, and the aim of this paper is to investigate the structure of AFC-groups, and in particular the behaviour of their FC-centre.File in questo prodotto:
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