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A note on groups with restrictions on centralizers of in nite index


Abstract


A group G is said to be an {\it AFC-group} if for each element x of G, either x has finitely many conjugates or the factor group C_G(x)/\cyc x is finite. In this survey article some results concerning AFC-groups and minimal-non-AFC groups are collected

DOI Code: 10.1285/i15900932v36suppl1p1

Keywords: $AFC$-group; minimal-non-$AFC$ group; $FC$-centre

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