# Splendid Morita equivalences for principal 2-blocks with dihedral defect groups

@article{Koshitani2017SplendidME, title={Splendid Morita equivalences for principal 2-blocks with dihedral defect groups}, author={Shigeo Koshitani and Caroline Lassueur}, journal={Mathematische Zeitschrift}, year={2017}, volume={294}, pages={639-666} }

Given a dihedral 2-group P of order at least 8, we classify the splendid Morita equivalence classes of principal 2-blocks with defect groups isomorphic to P. To this end we construct explicit stable equivalences of Morita type induced by specific Scott modules using Brauer indecomposability and gluing methods; we then determine when these stable equivalences are actually Morita equivalences, and hence automatically splendid Morita equivalences. Finally, we compute the generalised decomposition… CONTINUE READING

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## Splendid Morita equivalences for principal blocks with generalised quaternion defect groups

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CITES METHODS & BACKGROUND

## Character triples and equivalences over a group graded G-algebra

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HIGHLY INFLUENCED

## The Brauer indecomposability of Scott modules with semidihedral vertex

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