Automorphism $\pi(\omega) \in \rm{Gal}(k(p \mathcal O_K) / \mathcal F_p )$ corresponding to the unique nontrivial $\omega \in \rm{Gal}(K / \mathbb Q)$

score 120 · Answer 15 · 2019-11-15 13:11:07

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If $\operatorname{Aut}(G)$ is abelian order $p^5$, is $G$ non-abelian?

Published on 15 Nov 2019 - 13:11

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Automorphism $\pi(\omega) \in \rm{Gal}(k(p \mathcal O_K) / \mathcal F_p )$ corresponding to the unique nontrivial $\omega \in \rm{Gal}(K / \mathbb Q)$

If $\operatorname{Aut}(G)$ is abelian order $p^5$, is $G$ non-abelian?

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