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.
| Original language | English |
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| Pages (from-to) | 203-218 |
| Number of pages | 16 |
| Journal | Homology, Homotopy and Applications |
| Volume | 11 |
| Issue number | 1 |
| Publication status | Published - 2009 |