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Variations on the theme of FC-groups
Authors:B A F Wehrfritz
Institution:1.School of Mathematical Sciences,Queen Mary University of London,London,UK
Abstract:The following is clearly equivalent to the usual definition of FC-group. A group is an FC-group, if each of its cyclic subgroups has only finitely many conjugates. We consider several weaker conditions on the conjugates of cyclic subgroups, the strongest of which we show is equivalent to the FC-condition for many classes of groups.
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