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Section Daily Prep 19
Today we will investigate more properties of finite fields with the goal of understanding the properties that we need
Subsection Learning Objectives
Subsubsection Basic Learning Objectives
Objectives
Before our class meeting, you should use the resources below to be able to learn the following. You should be reasonably fluent with these; we’ll answer some questions on them in class but not reteach them in detail.
State the definition and give examples of conjugacy, conjugacy class, and minimal polynomial of an element.
Subsubsection Advanced Learning Objectives
Objectives
During our class meeting, we will work on learning the following. Fluency with these is not expected or required before class.
Prove and understand properties of minimal polynomials.
Prove that all finite fields of the same order are isomorphic.
Enumerate irreducible polynomials.
Subsection Resources for Learning
Use these resources to prepare for class and answer the questions below.
Roth, Sections 7.1-7.3, pp. 218-227
Vanstone & van Oorschot, Section 2.4, pp. 32-35
Figure 60. Reference Video for Minimal Polynomials
Subsection Important Terms
