Pro- C generalized Baumslag–Solitar groups and profinite commensurators

Key Points

• The aim is to explore the properties of pro-C groups and their action on locally finite pro-C trees.
• Investigated the structure of pro-C groups.
• Analyzed their action on locally finite pro-C trees.
• Examined the relationship between pro-C groups and generalized Baumslag-Solitar groups.
• Identified key characteristics of pro-C groups in relation to locally finite trees.
• Established connections between pro-C groups and generalizations of Baumslag-Solitar groups.