galoisgroups

Computing Galois Groups

Expository notes on methods to calculate Galois groups for cubic and quartic polynomials.

Contents

• Computing Galois Groups
• Galois Groups of Irreducible Cubics
• Galois Groups of Irreducible Quartics
• Distinguishing C_4 vs D_8
• Dedekind’s Theorem and Chebotarev’s Theorem
• Kronecker-Weber Theorem
• Galois Groups for Reducible Polynomials

Status

Finished.