Subgroups with large relative commutativity degree
The order of subgroups with large relative commutativity degrees are determined. Also a relationship between the number of relative commutativity degrees of a group and the length of its subgroup chains is obtained.
Mathematics Subject Classication (2010): Primary 20D30; Secondary 20D99.
Key words: Commutativity, relative commutativity degree, centralizer, chain of sub-groups, Frobenius group.