On Closed Abelian Subgroups of Real Lie Groups

Key Points

• The central aim is to investigate the nature of closed abelian subgroups within the framework of locally compact real Lie groups.
• Examined properties of abelian subgroups of G/G0
• Utilized concepts from real Lie group theory
• Established that all abelian subgroups of G/G0 are finite
• Provided structural insights into the organization of G