Examples of groups

Related lectures (31)

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Explores small order groups, group morphisms, and the second isomorphism theorem.

Explores the symmetries of a regular n-gon, normal subgroups, cosets, and Lagrange's theorem.

Explores group homomorphisms, constructing isomorphisms between groups using generators and relations.

Explores permutations preserving adjacency, linear transformations, groups, and sub-groups.

Explores Coxeter groups, emphasizing generators, relations, and unique presentations in group theory.

Explores group morphisms, injectivity criteria, and conjugation concepts within groups.

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

Explores concrete examples of group actions on sets, focusing on actions that do not change the set.

Covers the concept of morphism of groups, actions on sets, and automorphisms.

Covers the concept of the renormalization group and the effective Hamiltonian.