Algebraic Structures: Small Order Groups

Related lectures (30)

Explores the uniqueness of amalgams in group theory through examples and diagrams.

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

Delves into advanced group theory concepts such as isomorphisms and homomorphisms.

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

Explores the beautiful properties of the p-Sylow subgroups of a finite group.

Delves into push-out and quotients in group theory, emphasizing homomorphisms and normal subgroups.

Explores Coxeter groups, emphasizing generators, relations, and unique presentations in group theory.

Explores the study of finite groups through subgroup analysis, focusing on Sylow subgroups.

Explores the third isomorphism theorem in group theory, focusing on quotient groups and a categorical perspective.

Covers simplicial and cosimplicial objects in category theory with practical examples.

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