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Related lectures (29)
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Dihedral Group: Symmetries and Cosets
Explores the symmetries of a regular n-gon, normal subgroups, cosets, and Lagrange's theorem.
Subgroups and Cosets: Lagrange's Theorem
Explores subgroups, normal subgroups, cosets, and Lagrange's theorem in group theory, emphasizing the importance of left cosets.
Coxeter Groups: Generators and Relations
Explores Coxeter groups, emphasizing generators, relations, and unique presentations in group theory.
Permutations and Adjacency
Explores permutations preserving adjacency, linear transformations, groups, and sub-groups.
Symmetries in Regular Polygons
Delves into the symmetries of regular polygons, including the dihedral group and left cosets in a finite group.
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Irreducible Representations of Rotations Group
Explores irreducible representations of the rotations group and their mathematical properties.
Fundamental Groups
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Lie Groups: Representations and Transformations
Explores Lie groups, scalar fields, and vector spaces transformations.
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