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Class 2 quotients of solvable linear groups. (arXiv:1710.01860v1 [math.GR])
来源于:arXiv
Let $G$ be a finite group, and let $V$ be a completely reducible faithful
$G$-module. By a result of Glauberman it has been known for a long time that if
$G$ is nilpotent of class 2, then $|G| < |V|$. In this paper we generalize this
result as follows. Assuming $G$ to be solvable, we show that the order of the
maximal class 2 quotient of $G$ is strictly bounded above by $|V|$. 查看全文>>
