On the sectional category of subgroup inclusions and Adamson cohomology theory
arXiv:2012.11912 · doi:10.1016/j.jpaa.2021.106959
Abstract
The sectional category of a subgroup inclusion can be defined as the sectional category of the corresponding map between Eilenberg--MacLane spaces. We extend a characterization of topological complexity of aspherical spaces given by Farber, Grant, Lupton and Oprea to the context of sectional category of subgroup inclusions and investigate it by means of Adamson cohomology theory.
18 pages, reworked format, several corrections and examples added. This version is published in Journal of Pure and Applied Algebra