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Klim Puhov
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Let $C$ be a Hurwitz surface, $G=\text{Aut}(C)$ and $N$ is a proper normal subgroup of $G$. Is there a simple argument (without using of classification theorems) for the fact that $N$ acts on $C$ freely?

I found this fact here see Section 3.

Let $C$ be a Hurwitz surface, $G=\text{Aut}(C)$ and $N$ is a normal subgroup of $G$. Is there a simple argument (without using of classification theorems) for the fact that $N$ acts on $C$ freely?

I found this fact here see Section 3.

Let $C$ be a Hurwitz surface, $G=\text{Aut}(C)$ and $N$ is a proper normal subgroup of $G$. Is there a simple argument (without using of classification theorems) for the fact that $N$ acts on $C$ freely?

I found this fact here see Section 3.

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Klim Puhov
  • 525
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Let $C$ be a Hurwitz surface, $G=\text{Aut}(C)$ and $N$ is a normal subgroup of $G$. Is there a simple argument (without using of classification theorems) for the fact that $N$ acts on $C$ freely?

I found this fact here see Section 3.

Let $C$ be a Hurwitz surface, $G=\text{Aut}(C)$ and $N$ is a normal subgroup of $G$. Is there a simple argument (without using of classification theorems) for the fact that $N$ acts on $C$ freely?

Let $C$ be a Hurwitz surface, $G=\text{Aut}(C)$ and $N$ is a normal subgroup of $G$. Is there a simple argument (without using of classification theorems) for the fact that $N$ acts on $C$ freely?

I found this fact here see Section 3.

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Klim Puhov
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AssumeLet $C$ isbe a Hurwitz surface, $G=\text{Aut}(C)$ and $N$ is a normal subgroup of $G$. Is there a simple argument (without using of classification theorems), why for the fact that $N$ acts on $C$ freely?

Assume $C$ is a Hurwitz surface, $G=\text{Aut}(C)$ and $N$ is a normal subgroup of $G$. Is there a simple argument (without using of classification theorems), why $N$ acts on $C$ freely?

Let $C$ be a Hurwitz surface, $G=\text{Aut}(C)$ and $N$ is a normal subgroup of $G$. Is there a simple argument (without using of classification theorems) for the fact that $N$ acts on $C$ freely?

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Klim Puhov
  • 525
  • 3
  • 12
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