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Related lectures (32)

Symmetries in Regular Polygons Log in to Mediaspace to watch this video

Delves into the symmetries of regular polygons, including the dihedral group and left cosets in a finite group.

Groups: Definitions, Properties, and Homomorphisms Log in to Mediaspace to watch this video

Introduces the basic concepts of groups, including definitions, properties, and homomorphisms, with a focus on subgroup properties and normal subgroups.

Elliptic Curves: Group Structure and Isomorphism Log in to Mediaspace to watch this video

Explores the group structure and isomorphism of elliptic curves, including inverses, associativity, and compactification to the torus.

Mathematical Parenthesis on Groups and Lagrange Theorem Log in to Mediaspace to watch this video

Explores cosets in commutative groups, Lagrange theorem, and integer factorization.

Algebra: Practice Exam Solutions Log in to Mediaspace to watch this video

Covers the solution of a practice exam in Algebra, focusing on finding greatest common divisors of polynomials and exploring group properties.

Ideals and Representations Log in to Mediaspace to watch this video

Covers ideals, representations, modules, and maximal ideals in associative algebras.

Universal Property of Groups Log in to Mediaspace to watch this video

Explores the universal property of groups, defining homomorphisms and exploring subgroup properties.

Resoluble Groups: Quotients of Group Log in to Mediaspace to watch this video

Covers the definition of solvable groups and the abelian property of group quotients.

Applications of Lagrange's Theorem Log in to Mediaspace to watch this video

Explores the applications of Lagrange's theorem in algebra, covering corollaries, cyclic groups, and quotient groups.

Distributions & Interpolation Spaces Log in to Mediaspace to watch this video

Explores convolution operators, interpolation spaces, and function convergence in different spaces.

Algebra: Chain Complexes Log in to Mediaspace to watch this video

Explores chain complexes, abelian groups, homomorphisms, homology groups, and free abelian groups.

Group Actions: Equivariance and Functors Log in to Mediaspace to watch this video

Explores equivariance in group actions and functors, demonstrating its importance in group theory.

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