Trivial Group: Properties and Notation

Related lectures (29)

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Covers the properties of linear molecules in carbon and discusses neutral elements, associative law, and conjugate elements.

Explains inverse operations for addition and subtraction, including finding the inverse of a number.

Covers the basics of group theory, including elements, associativity, identity, inverses, and closure.

Explores the motivations for studying actions through the universal action of bijections.

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

Covers the concept of element inverse for multiplication in complex numbers.

Introduces group theory concepts, including definitions and properties of groups, rings, and fields.

Introduces modular arithmetic, its properties, and applications in cryptography and coding theory.

Introduces group theory concepts, properties, and examples, including injective functions and group properties like associativity and inverses.

Covers the definition of a group, properties of symmetries, and group operations.