Abstract
We classify up to Morita equivalence all blocks whose defect groups are Suzuki 2-groups. The classification holds for blocks over a suitable discrete valuation ring as well as for those over an algebraically closed field, and in fact holds up to basic Morita equivalence. As a consequence Donovan's conjecture holds for Suzuki 2-groups. A corollary of the proof is that Suzuki Sylow 2-subgroups of finite groups with no nontrivial odd order normal subgroup are trivial intersection.
Original language | English |
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Pages (from-to) | 598-513 |
Number of pages | 16 |
Journal | Journal of Algebra |
Volume | 664 |
Early online date | 21 Oct 2024 |
DOIs | |
Publication status | E-pub ahead of print - 21 Oct 2024 |