We give a cohomological criterion for the existence and uniqueness of solutions of the $2$-cocycle gluing problem in block theory. The existence of a solution for the $2$-cocycle gluing problem is further reduced to a property of fusion systems of certain finite groups associated with the fusion system of a block.
|Number of pages||16|
|Journal||Homology, Homotopy and Applications|
|Publication status||Published - 2009|