On 2-blocks with semidihedral defect groups

On 2-blocks with semidihedral defect groups
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在具有半二面体缺陷群的 2-块上

DOI:
10.1090/s0002-9947-1979-0546918-4
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发表时间:
1979
期刊:
影响因子:
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通讯作者:
K. Erdmann
K. Erdmann
中科院分区:
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文献类型:
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作者:
K. Erdmann

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.设G是下列群之一:L(q)和GIA(2,q),其中q = 3(mod 4),U(3,q)和GU(2,q),其中q = 1(mod 4).本文研究了图G的2-块B具有半二面体亏群.特别地,确定了B中单模的顶点、源和绿色对应,并利用它们得到了不可分解投射模的子模结构。
. Let G be one of the following groups: L¡(q) and GIA2, q) with q = 3 (mod 4), U3(q) and GU(2, q) with q = 1 (mod 4). This paper is concerned with 2-blocks B of G having semidihedral defect groups. In particular, vertices, sources and Green correspondents of the simple modules in B are determined and used to obtain the submodule structure of the indecomposable projective modules.