Concept

Cyclic group

Related lectures (29)

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

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

Explores conjugation in groups, the direct product of groups, and the classification of finite abelian groups.

Explores cyclic groups, generators, isomorphisms, and the discrete logarithm problem in depth, highlighting their importance and applications.

Explores algebraic structures, classes of examples, and properties of cyclic groups.

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

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

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

Explores group operations with cyclic properties and the universal ownership of quotients.

Covers subgroups, generators, cyclic groups, and group morphisms in group theory.

Explores flat groups of automorphisms and their properties, including minimization functions and invariance under specific conditions.

Covers the main concepts behind RSA encryption and examples of homomorphisms between cyclic groups.

Presents the classification of finite abelian groups as products of cyclic groups, a fundamental result in various branches of mathematics.

Covers the products of symmetry operations and properties of cyclic and Abelian groups.

Covers group quotient, group actions, and functors connecting sets and G-sets.

Covers the uniqueness of norm extension in finite fields and the construction of norms on finite extensions of Qp.

Explores isomorphic groups, bijective morphisms, and their applications in group theory.

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

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

Covers the classification of finite abelian groups and the unique sequence of positive integers for isomorphism.