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ALG-GT · 3 lectures

Group Theory

Groups, homomorphisms, actions, and structure theorems.

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Curriculum

Lectures

Open a lecture for definitions, theorems, problems, and step-by-step solutions.

  1. L01

    Binary operations & groups

    Magmas, semigroups, monoids, and the group axioms.

  2. L02

    Normal subgroups & quotients

    Normality, quotient groups, and first looks at maps.

  3. L03

    Isomorphism theorems

    First, second, and third isomorphism theorems.