# Alison

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bio website location age 26 member for 3 years, 2 months seen Oct 23 at 6:01 profile views 245

I recently finished my MA in mathematics with a focus in algebraic logic, and now I am teaching math at a small, private high school.

# 12 Questions

 18 How do I prove that $x^p-x+a$ is irreducible in a field with $p$ elements when $a\neq 0$? 5 How do I show that $\mathbb{Q}(\sqrt[4]{7},\sqrt{-1})$ is Galois? 4 How do I find a splitting field $x^8-3$ over $\mathbb{Q}$? 4 What is a good example to show high school students why a proof for induction is a reasonable kind of proof? 3 How do I get this matrix in Smith Normal Form? And, is Smith Normal Form unique?

# 338 Reputation

 +25 How do I prove that $x^p-x+a$ is irreducible in a field with $p$ elements when $a\neq 0$? +5 How do I find a splitting field $x^8-3$ over $\mathbb{Q}$? +10 Is there a name to refers to anything that is a point, line, plane, etc? +5 How do I show that $\mathbb{Q}(\sqrt[4]{7},\sqrt{-1})$ is Galois?

 1 Why is $\frac{1}{\frac{1}{X}}=X$?

# 21 Tags

 1 arithmetic 0 category-theory × 2 1 fractions 0 teaching × 2 1 intuition 0 field-theory × 2 1 inverse 0 terminology 0 abstract-algebra × 5 0 education

# 4 Accounts

 Mathematics 338 rep 212 Music: Practice & Theory 131 rep 2 TeX - LaTeX 128 rep 3 Ask Different 123 rep 18