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Results tagged with gr.group-theory
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user 12424
Questions about the branch of algebra that deals with groups.
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Isomorphism of semidirect products
Let $N,H$ be groups, $\phi \colon H\rightarrow Aut(N)$ be a homomorphism, $f\in Aut(N)$ and $\hat{f}$ be an inner automorphism of $Aut(N)$ induced by $f$. Then $$N\rtimes_{\phi} H \cong N\rtimes_{\ …
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