%0 Journal Article
%T Anti--Groups and Anti--Groups
%A Francesco Russo
%J International Journal of Mathematics and Mathematical Sciences
%D 2007
%I Hindawi Publishing Corporation
%R 10.1155/2007/29423
%X A group G has Černikov classes of conjugate subgroups if the quotient group G/coreG(NG(H)) is a Černikov 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 Černikov 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.
%U http://www.hindawi.com/journals/ijmms/2007/029423/abs/