Abstract

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.

Publication Type:	Article
Subjects:	Q Science > QA Mathematics
Departments:	School of Mathematics, Computer Science & Engineering > Mathematics
URI:	http://openaccess.city.ac.uk/id/eprint/1883

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