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arXiv · 2401.04028

Blocks whose defect groups are Suzuki $2$-groups

Charles W. Eaton
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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.

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Charles W. Eaton. 2024-01-08. Blocks whose defect groups are Suzuki $2$-groups. https://arxiv.org/abs/2401.04028

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