Let G be a finite p-group with subgroup H and k a field of characteristic p. We study the endomorphism alCebra E = End_(kG)(k_H iG), showinC that it is a split extension of a nilpotent ideal by the group algebra kN_G (H)/H. We identify the space of endomorphisms that factor through a projective kG-module and hence the endomorphism ring of k_H i~G in the stable module category, and determine the Loewy structure of E when G has nilpotency class 2 and [G, H] is cyclic.
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机译：令G为一个有限的p组，其中子组H为子集，k为特征p的场。我们研究了内同构alCebra E = End_（kG）（k_H iG），表明C是代数kN_G（H）/ H的幂等理想的分裂扩展。我们确定了通过射影kG模块分解的内同态空间，从而确定了稳定模块类别中k_H i〜G的内同态环，并确定了当G具有幂等类2且[G，H]为E时E的Loewy结构。循环的。
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