Conjugately Dense Subgroups in Generalized Fc-groups
نویسندگان
چکیده
A subgroup H of a group G is called conjugately dense in G if H has nonempty intersection with each class of conjugate elements in G. The knowledge of conjugately dense subgroups is related with an unsolved problem in group theory, as testified in the Kourovka Notebook. Here we point out the role of conjugately dense subgroups in generalized FC-groups, generalized soluble groups and generalized nilpotent groups. 2000 Mathematics Subject Classification: Primary: 20F24; Secondary: 20C07, 20D10.
منابع مشابه
On a Property of Groups with Coverings
A subgroup H of a group G is conjugately dense in G if for each element g in G the intersection of H with the conjugates of g in G is nonempty. Conjugately dense subgroups deal with interesting open problems, related to parabolic groups. In the present paper we study them with respect to suitable coverings. 2000 Mathematics Subject Classification: 20E45, 20B35, 20F99.
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تاریخ انتشار 2009