In this paper we characterize, in terms of their conjugacy classes, linear groups G such that \(G/\zeta _k(G)\) belongs to a certain group class \(\mathfrak {X}\) for several natural choices of \(\mathfrak {X}\). Moreover, a description is given of linear groups with restrictions on layers.

中文翻译：

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具有受限共轭类的线性群

在本文中，我们根据它们的共轭类来刻画线性群G，使得\(G/\zeta _k(G)\)属于某个群类\(\mathfrak {X}\)的几个自然选择\(\mathfrak {X}\)。此外，给出了对层数有限制的线性群的描述。