Holm, T., Kessar, R. & Linckelmann, M. (2007). Blocks with quaternion defect group over a 2adic ring: the case \tilde{A}_4. Glasgow Mathematical Journal, 49(1), pp. 2943. doi: 10.1017/S0017089507003394

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Abstract
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 padic 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 $k\tilde A_4$. The main ingredients are Erdmann's classification of tame blocks and work of Cabanes and Picaronny on perfect isometries between tame blocks.
Item Type:  Article 

Additional Information:  18 pages 
Subjects:  Q Science > QA Mathematics 
Divisions:  School of Engineering & Mathematical Sciences > Department of Mathematical Science 
Related URLs:  
URI:  http://openaccess.city.ac.uk/id/eprint/1899 
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