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Archive: News

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Milne's Galois Theory Example

The following example is drawn from Milne's Galois Theory notes, p.42 (http://www.jmilne.org/math/CourseNotes/FT.pdf) We study the extension $\mathbb...

Apr 10, 2026
news

Find $Aut(Z_{6})$

Question: Find $Aut\left ( \mathbb{Z}_{6} \right )$ Note that $\mathbb{Z}_{6}=\left \{ 0,1,2,3,4,5 \right \}$ Observe: $\forall k \in \mathbb{Z}_{6}$, $k^...

Apr 10, 2026
news

Biorthogonality of vectors

This question is equal parts math and physics, though I chose to ask it here because I am more concerned with the mathematics behind it, rather than physi...

Apr 10, 2026