Cohomology and higher dimensional Baer invariants (original) (raw)

Cohomological methods are employed to explore higher dimensional Baer invariants within various algebraic categories, specifically focusing on Q-groups. The paper establishes the existence of universal exact sequences connected to these invariants and demonstrates relationships between the first Baer invariant of an object and its associated modules. Key findings include the characterization of these invariants in terms of morphisms between associated modules, notably showing when they are trivial, thus generalizing classical results in group cohomology.