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Let $G$, be a finite group; let$F$, be a field of charcharacteristic$> 0$$p > 0$.
If I have an irreducible modular representation $\rho: G \to GL_n(F)$, does $\ker \rho$ contain all the normal $p$-subgroups of $G$? If so, how does one show this?
$G$, finite group; $F$, field of char$> 0$.
If I have an irreducible modular representation $\rho: G \to GL_n(F)$, does $\ker \rho$ contain all the normal $p$-subgroups of $G$? If so, how does one show this?
Let $G$ be a finite group; let$F$ be a field of characteristic$p > 0$.
If I have an irreducible modular representation $\rho: G \to GL_n(F)$, does $\ker \rho$ contain all the normal $p$-subgroups of $G$? If so, how does one show this?
Kernal Kernel of modular representation of a finite group
$G$, finite group; $F$, field of char $> 0$.
If I have an irreducible modular representation $\rho: G \to GL_n(F)$, does $ker \rho$$\ker \rho$ contain all the normal $p$-subgroups of $G$? If so, how does one show this?
Kernal of modular representation of a finite group
$G$, finite group; $F$, field of char $> 0$.
If I have an irreducible modular representation $\rho: G \to GL_n(F)$, does $ker \rho$ contain all the normal $p$-subgroups of $G$? If so, how does one show this?
Kernel of modular representation of a finite group
$G$, finite group; $F$, field of char $> 0$.
If I have an irreducible modular representation $\rho: G \to GL_n(F)$, does $\ker \rho$ contain all the normal $p$-subgroups of $G$? If so, how does one show this?
Kernal of modular representation of a finite group
$G$, finite group; $F$, field of char $> 0$.
If I have an irreducible modular representation $\rho: G \to GL_n(F)$, does $ker \rho$ contain all the normal $p$-subgroups of $G$? If so, how does one show this?
