Symmetric Group: Cycle Notation

Related lectures (31)

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

Discusses the theory of free groups, their properties, and relationships with other algebraic structures.

Explores free abelian groups, homomorphisms, and exact sequences in group theory.

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

Covers a review of algebraic structures such as rings, fields, and groups, including integral domains, ideals, and finite fields.

Explores the Symmetric group, cycle notation, multiplication, the sign of a permutation, and the Alternating group.

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

Covers concrete categories with sets and structures, including Ens, Gr, Ab, and Vectk.

Explores abelian groups from a categorical perspective, discussing the coproduct construction.

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