automizer

In the 2002 Durham Symposium, Markus Linckelmann conjectured the existence of a regular central k*-extension of the full subcategory over the selfcentralizing Brauer pairs of the Frobenius P-category associated with a block of defect group P of a finite group G which would include, as k*-automorphism groups of the objects, the k*-groups associated with the automizers of the corresponding selfcentralizing Brauer pairs.