Blocks whose defect groups are Suzuki 2-groups

被引:0
作者
Eaton, Charles W. [1 ]
机构
[1] Univ Manchester, Dept Math, Manchester M13 9PL, England
关键词
Morita equivalence; Finite groups; Block theory; Suzuki; 2-groups; Donovan's conjecture; CHARACTER DEGREES; FINITE-GROUPS; CONJECTURES; FUSION; ORDER;
D O I
10.1016/j.jalgebra.2024.10.011
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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. Crown Copyright (c) 2024 Published by Elsevier Inc. This is an open access article under the CC BY license (http:// creativecommons .org /licenses /by /4 .0/).
引用
收藏
页码:498 / 513
页数:16
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