Universal deformation rings and Klein four defect groups
Universal deformation rings and Klein four defect groups
复制标题
万能变形环和克莱因四缺陷组
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
F. Bleher
中科院分区：
文献类型：
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作者：
F. Bleher
本文确定了有限群的某些模表示的泛变形环。所考虑的表示是那些与克莱因四个亏损群块，其稳定的自同态标量。证明了这些泛变形环总是Witt向量环上Klein四群的群环的次商环。
In this paper, the universal deformation rings of certain modular representations of a finite group are determined. The representations under consideration are those which are associated to blocks with Klein four defect groups and whose stable endomorphisms are given by scalars. It turns out that these universal deformation rings are always subquotient rings of the group ring of a Klein four group over the ring of Witt vectors.