Elsevier

Journal of Algebra

Volume 323, Issue 6, 15 March 2010, Pages 1690-1697
Journal of Algebra

The gluing problem for some block fusion systems

https://doi.org/10.1016/j.jalgebra.2010.01.003Get rights and content
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Abstract

We answer the gluing problem of blocks of finite groups (Linckelmann (2004) [7, 4.2]) for tame blocks and the principal p-block of PSL3(p) for p odd. In particular, we show that the gluing problem for the principal p-block of PSL3(p) does not have a unique solution when p1mod3.

Keywords

The gluing problem for blocks
Fusion systems
Alperin's weight conjecture

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