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 collecte
A group G is called an FP-group if for each element g of G there exists a subgroup Xg of G such that...
AbstractThe Sylow-2-subgroups of a periodic group with minimal condition on centralizers are locally...
An FCI-group is a group in which every non-normal cyclic subgroup has finite index in its centralize...
A group $G$ is said to be an {\it $AFC$-group} if for each element $x$ of $G$, either $x$ has finit...
A group G is said to be an AF C-group if for each element x of G, either x has finitely many conjuga...
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)...
A group G is said to have the AFC-property if for each element x of G at least one of the indices |G...
Let F C 0 be the class of all finite groups, and for each nonnegative integer n define by induction...
We give a detailed description of infinite locally nilpotent groups G such that the index |C_G(x) : ...
A group \(G\) is said to be an \(FC\)-\(group\) if each element of \(G\) has only finitely many conj...
A subgroup H of a group G is called commensurable with a normal subgroup (cn) if there is N C G suc...
A group G has restricted centralizers if for each g in G the centralizer either is finite or has fin...
A group G is called an FP-group if for each element g of G there exists a subgroup Xg of G such that...
AbstractThe Sylow-2-subgroups of a periodic group with minimal condition on centralizers are locally...
An FCI-group is a group in which every non-normal cyclic subgroup has finite index in its centralize...
A group $G$ is said to be an {\it $AFC$-group} if for each element $x$ of $G$, either $x$ has finit...
A group G is said to be an AF C-group if for each element x of G, either x has finitely many conjuga...
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)...
A group G is said to have the AFC-property if for each element x of G at least one of the indices |G...
Let F C 0 be the class of all finite groups, and for each nonnegative integer n define by induction...
We give a detailed description of infinite locally nilpotent groups G such that the index |C_G(x) : ...
A group \(G\) is said to be an \(FC\)-\(group\) if each element of \(G\) has only finitely many conj...
A subgroup H of a group G is called commensurable with a normal subgroup (cn) if there is N C G suc...
A group G has restricted centralizers if for each g in G the centralizer either is finite or has fin...
A group G is called an FP-group if for each element g of G there exists a subgroup Xg of G such that...
AbstractThe Sylow-2-subgroups of a periodic group with minimal condition on centralizers are locally...
An FCI-group is a group in which every non-normal cyclic subgroup has finite index in its centralize...
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