A classification of finite p -groups with exactly two A 2 -subgroups

Key Points

• The aim is to classify finite p-groups that have exactly two A2-subgroups according to their isomorphic characteristics.
• Classified finite p-groups based on the structure of their A2-subgroups.
• Applied group theory techniques to determine isomorphism among classified groups.
• Identified a complete classification of finite p-groups with exactly two A2-subgroups.
• Provided solutions to problems proposed by Berkovich and Janko.