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revised (Galois Theory) Let $E/K$ be a Galois extension with Galois group isomorphic to $Z_{12}$. Determine the subfield lattice for $E/K$
updated lattice (made an error the first time)
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suggested approved edit on (Galois Theory) Let $E/K$ be a Galois extension with Galois group isomorphic to $Z_{12}$. Determine the subfield lattice for $E/K$
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revised A Young Math Enthusiast's Fear
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revised Assume that $ 1a_1+2a_2+\cdots+na_n=1$, where the $a_j$ are real numbers.
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suggested approved edit on Assume that $ 1a_1+2a_2+\cdots+na_n=1$, where the $a_j$ are real numbers.
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comment finding numbers to make both sides equal
@bof Sorry! I meant the largest. Silly error!
Oct
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comment finding numbers to make both sides equal
Either by solving $1000=x(x+1)(x+2)$ or by brute-force, you'll find out that $45$ is the smallest $x$ that works. So, anything below $45$ is fair game.
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comment Solving an exercise in Pinter's Abstract Algebra
The set you describe is called the normalizer of $H$ in $G$. Check out proofwiki.org/wiki/Normalizer_is_Subgroup
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