Groupes résolubles: Quotients and Subgroups

Related lectures (31)

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Covers the concept of solvable groups and their decomposition into abelian pieces, exploring various properties and examples.

Explores subgroups, normal subgroups, cosets, and Lagrange's theorem in group theory, emphasizing the importance of left cosets.

Explores automorphism groups of trees and graphs, including actions on trees and group homomorphisms.

Explores subsets and subgroups related to group actions on sets.

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

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

Covers the group presentation of S3, normal subgroups, generators, relations, quotient groups, and injective homomorphisms.

Explores subsets, subgroups, actions, fixed points, stabilizers, orbits, and bijections in group theory.

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

Explores the applications of Lagrange's theorem in algebra, covering corollaries, cyclic groups, and quotient groups.