Explore the third lecture in a mathematical series that delves into Barbot's theorem and its implications for Anosov flows on 3-manifolds, examining their classification through transverse foliations of the plane and fundamental group actions. Learn about the development of abstract theory concerning Anosov-like group actions of bifoliated planes, investigating both flow studies and foliation-preserving dynamical systems. Recorded at the Centre International de Rencontres Mathématiques during the "Foliations and Diffeomorphism Groups" thematic meeting, discover the connections between flows and group actions across dimensions 1, 2, and 3. Access this mathematical content through CIRM's Audiovisual Mathematics Library, featuring chapter markers, keywords, enriched video content with abstracts and bibliographies, and comprehensive search functionality for an enhanced learning experience.