Concept

Order (group theory)

Related lectures (16)

Explores the classification theorem for Coxeter groups and the order of F_4.

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

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

Covers the properties of p-subgroups of Sylow in group theory, including cardinality and conjugacy relationships.

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

Explores the philosophy of understanding a group through its subgroups' structure, focusing on finite groups.

Explores Lagrange's theorem in commutative groups and the concept of equivalence relations, demonstrating their practical applications.

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

Covers the decomposition of Eisenstein series into orthogonal components and the unitarizability of certain representations.

Covers technical lemmas on abelian p-groups and maximal order elements.

Covers anonymous authorization, zero-knowledge proofs, attribute-based credentials, and practical issues in anonymous authentication.

Covers the functional equation of the Zeta function and the Hadamard factorization theorem.

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Explores RSA cryptography computational problems, finite fields construction, and computational challenges in RSA cryptography.

Covers the linearization of flow around a point, eigenvalues, eigenvectors, and critical points.