Geodesic
BLOCKS WITH A QUATERNION DEFECT GROUP OVER A 2-ADIC RING: THE CASE Ã4
Glasgow mathematical journal, Tome 49 (2007) no. 1, pp. 29-43

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DOI

Except for blocks with a cyclic or Klein four defect group, it is not known in general whether the Morita equivalence class of a block algebra over a field of prime characteristic determines that of the corresponding block algebra over a p-adic ring. We prove this to be the case when the defect group is quaternion of order 8 and the block algebra over an algebraically closed field k of characteristic 2 is Morita equivalent to kÃ4. The main ingredients are Erdmann's classification of tame blocks [6] and work of Cabanes and Picaronny [4, 5] on perfect isometries between tame blocks.
DOI : 10.1017/S0017089507003394
Mots-clés : 20C20 
HOLM, THORSTEN; KESSAR, RADHA; LINCKELMANN, MARKUS. BLOCKS WITH A QUATERNION DEFECT GROUP OVER A 2-ADIC RING: THE CASE Ã4. Glasgow mathematical journal, Tome 49 (2007) no. 1, pp. 29-43. doi: 10.1017/S0017089507003394
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