论文信息 - Anti- CC-Groups and Anti-PC-Groups

Anti- CC-Groups and Anti-PC-Groups

A group G has Cernikov classes of conjugate subgroups if the quotient group G/coreG(NG(H)) is a Cernikov group for each subgroup H of G. An anti-CC group G is a group in which each nonfinitely generated subgroup K has the quotient group G/coreG(NG(K)) which is a Cernikov group. Analogously, a group G has polycyclic-by-finite classes of conjugate subgroups if the quotient group G/coreG(NG(H)) is a polycyclic-by-finite group for each subgroup H of G. An anti-PC group G is a group in which each nonfinitely generated subgroup K has the quotient group G/coreG(NG(K)) which is a polycyclic-by-finite group. Anti-CC groups and anti-PC groups are the subject of the present article.

Francesco G. Russo | F. Russo

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