The dimensions of the Jordan blocks in the images of regular unipotent elements from subsystem subgroups of type C₂ in p-restricted irreducible representations of groups of type C_n in characteristic p ≥ 11 with locally small highest weights are found. These results can be applied for investigating the behavior of unipotent elements in modular representations of simple algebraic groups and recognizing representations and linear groups.The article consists of 3 parts. In the first one, preliminary lemmas that are necessary for proving the principal results, are contained and the case where all weights of the restriction of a representation considered to a subgroup of type A₁ containing a relevant unipotent element are less than p, is investigated.

中文翻译：

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辛群的不可约表示中第2级子系统辛子群的规则单能元素图像的块结构。一世

在从类型的子系统子组定期单能元件的图像中的块约旦的尺寸c ^ ₂在p -restricted型的基团的不可约表示Ç _Ñ在特性p局部小最高权重≥11中找到。这些结果可用于调查简单代数组的模块化表示中的单能元素的行为，以及识别表示和线性组。本文共分三个部分。在第一个中，包含证明主要结果所必需的初步引理，以及将表示约束的所有权重都考虑为A ₁型子组的情况。研究了包含相关单能元素小于p的元素。