| Details: |
In the study of finite groups, an important problem is to identify a group from partial information about its structure. Various numerical and structural invariants such as the sequence of element orders, the sum of element orders, the number of subgroups, and different graphs associated with groups have been used to predict the nature of the underlying group. Motivated by this approach, considerable work has been done on the counting of cyclic subgroups of a group and understanding how these counts reflect group structure. In this talk, I will present a brief overview of the results related to the enumeration of cyclic subgroups of finite groups. |