Subgroups and Generators

Related lectures (32)

Page 3 of 4

Explores symmetries in plane geometry, including isometries, reflections, and practical applications in design.

Explores group theory in quantum physics, emphasizing reducible and irreducible representations, conservation laws, and group properties.

Introduces the theory of abelian groups, focusing on p-abelian groups and their structure.

Explores Lagrange's theorem applications in group theory and arithmetic, focusing on subgroups, cosets, quotient groups, and homomorphisms.

Explores subsets and subgroups related to group actions on sets.

Covers the concepts of normalizer, centralizer, and center in group theory, providing examples of their applications.

Covers the construction and universal properties of pushouts in group theory.

Introduces normal subgroups, group quotients, and their applications in group theory.

Covers normal subgroups, quotient groups, homomorphisms, and the categorical viewpoint in group theory.

Covers the fundamental concepts of groups and subgroups, including definitions, theorems, and morphisms.