Geometric group theory

Related lectures (32)

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Covers the concept of the free product in group theory and how to determine monomorphisms and homomorphisms.

Covers group theory concepts like isomorphism and semi-direct product through examples and proofs.

Explores isomorphism and the order of group elements, emphasizing matching identities and inverses.

Explores the class equation and Burnside's lemma in group theory.

Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.

Explores the arithmetic of direct sums in group theory, discussing conditions for equality.

Explores Lagrange's theorem in commutative groups and the concept of equivalence relations, demonstrating their practical applications.

Explores homomorphisms of groups, focusing on the signature sgn and the concept of cycles and transpositions.

Covers the properties of p-subgroups of Sylow in group theory, including cardinality and conjugacy relationships.

Introduces group theory concepts, including definitions and properties of groups, rings, and fields.