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The sectional category of a subgroup inclusion $H \hookrightarrow G$ can bedefined as the sectional category of the corresponding map betweenEilenberg--MacLane spaces. We extend a characterization of topologicalcomplexity of aspherical spaces given by Farber, Grant, Lupton and Oprea to thecontext of sectional category of subgroup inclusions and investigate it bymeans of Adamson cohomology theory.

On the sectional category of subgroup inclusions and Adamson cohomology theory