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Linear Groups with Restricted Conjugacy Classes
Ricerche di Matematica ( IF 1.1 ) Pub Date : 2021-06-21 , DOI: 10.1007/s11587-021-00607-y F. de Giovanni , M. Trombetti , B. A. F. Wehrfritz
中文翻译:
具有受限共轭类的线性群
更新日期:2021-06-21
Ricerche di Matematica ( IF 1.1 ) Pub Date : 2021-06-21 , DOI: 10.1007/s11587-021-00607-y F. de Giovanni , M. Trombetti , B. A. F. Wehrfritz
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:
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。