Abstract Algebra Trivia

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September 22nd
  • Which property must a set satisfy to be considered a field in abstract algebra?
  • What is the order of the symmetric group S<sub>3</sub>?
  • What is the term for a subgroup that is both normal and abelian in abstract algebra?
  • What is the smallest prime field in abstract algebra?
  • Which theorem states that every non-zero polynomial with coefficients in a field has at least one root in that field?


August 7th
  • In abstract algebra, what is the definition of a group?
  • What is the order of a finite group?
  • What is an abelian group?
  • What is the definition of a ring in abstract algebra?