Group Theory: Introduction

Related lectures (32)

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Introduces subgroups and homomorphisms in group theory, with examples for illustration.

Introduces group theory basics and group action concepts with associated subsets.

Explores examples of group actions on sets, emphasizing the utility of group actions to understand groups.

Explores group actions, defining functors on groups, and verifying properties of group actions.

Explores subgroups, normal subgroups, cosets, and Lagrange's theorem in group theory, emphasizing the importance of left cosets.

Covers powers, multiples, subgroups, and stabilizers in group theory.

Explores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.

Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.

Explores subsets, subgroups, actions, fixed points, stabilizers, orbits, and bijections in group theory.

Explores subsets and subgroups related to group actions on sets.