Let G be a finite group. An S-ring A over G is a subringof the group ring ZG that has a linear basis associated with a specialpartition of G. About 40 years ago R. P¨oschel suggested the problemwhich can be formulated as follows: for which group G every S-ring Aover it is schurian, i.e. the partition of G corresponding to A consists ofthe orbits of the one point stabilizer of a permutation group in Sym(G)that contains a regular subgroup isomorphic to G. The main result ofthe paper says that such G can not be non-abelian p-group, where p isan odd prime. In fact, modulo known results, it was sufficient to showthat for every n 3 there exists a non-schurian S-ring over the groupM3n = ha; b j a3n..1= b3 = e; ab = a3n..2+1i.
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机译：令G为有限群。在G上的S环是Z族环的一个子环，Z G具有与G的特殊划分相关的线性基础。大约40年前，R。Póschel提出了以下问题：环A上是schurian的，即对应于A的G的分区由Sym（G）中置换组的一个点稳定子的轨道组成，该置换子包含一个与G同构的规则子群。本文的主要结果是，这样的G不能是非阿贝尔p组，其中p是奇质数。实际上，根据模数已知的结果，足以表明，每n 3个在group M3n = ha上存在一个非舒拉S型环; b j a3n..1 = b3 = e; ab = a3n..2 + 1i。
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