Groups acting on the line with at most 2 fixed points: an extension of Solodov’s theorem

Key Points

• The result shows that groups acting on the line with up to two fixed points follow similar structures.
• Non-trivial elements in these groups are shown to have at most two fixed points, supporting action types.
• By extending Solodov's theorem, this work reveals insights on group actions in mathematical structures.
• The definitions and classifications of these group actions are crucial for understanding their properties.