Rank of a group

The rank of a group, particularly in the context of group theory in mathematics, is a concept that can be defined in a couple of ways depending on the type of group being discussed (e.g., finite groups, topological groups). Here are the common interpretations: 1. **Rank of an Abelian Group**: For finitely generated abelian groups, the rank is the maximum number of linearly independent elements in the group.