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Explore the algebraic and combinatorial foundations of circularly-orderable groups in this third installment of a comprehensive lecture series. Delve into the relationship between cohomology classes of circular orderings and properties of the group itself. Examine the obstruction spectrum of circularly-orderable groups and investigate direct products. Engage with challenging exercises, including open problems, to deepen understanding of the subject matter. While some interplay with Adam Clay's minicourse on left-orderability is present, the majority of the content remains self-contained, making it accessible to those focusing solely on circular orderings.
