Core (group theory)

Related lectures (31)

Page 3 of 4

Covers the second and third properties of p-Sylow subgroups and their automorphisms.

Covers explicit calculations of push-outs in Ens and the study of induced homomorphisms between quotient groups.

Covers Lagrange's theorem, group homomorphisms, congruence classes, and normal subgroups.

Explores the existence of p-Sylow subgroups in finite groups and the abelian group center.

Explores the isomorphism theorems for quotient groups and the concept of surjective homomorphisms.

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

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

Delves into the second isomorphism theorem in group theory, emphasizing subgroup relationships and quotient groups.

Explores group actions, defining functors on groups, and verifying properties of group actions.

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