The reduction theorem for relatively maximal subgroups

Let \(\mathfrak{X}\) be a class of finite groups closed under taking subgroups, homomorphic images and extensions. It is known that if \(A\) is a normal subgroup of a finite group \(G\) then the image of an \(\mathfrak{X}\)-maximal subgroup \(H\) of \(G\) in \(G/A\) is not, in general, \(\mathfrak{X...

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Veröffentlicht in:	arXiv.org 2020-08
Hauptverfasser:	Guo, Wenbin, Revin, Danila O, Vdovin, Evgeny P
Format:	Artikel
Sprache:	eng
Schlagworte:	Conjugates Mathematics - Group Theory Subgroups
Online-Zugang:	Volltext
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