Combinatorial Group Theory

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Related lectures (55)

Symmetry in Modern Geometry Log in to Mediaspace to watch this video

Delves into modern geometry, covering transformations, isometries, and symmetries.

Proof of Sylow Subgroup Properties Log in to Mediaspace to watch this video

Explores the properties of p-subgroups of Sylow in a group.

Quotient Groups: Homomorphisms and Isomorphisms Log in to Mediaspace to watch this video

Explores quotient groups, homomorphisms, isomorphisms, and push-outs in different categories.

Group Theory: Isomorphism and Semi-Direct Product Log in to Mediaspace to watch this video

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

Linear Representations: Basics and Examples Log in to Mediaspace to watch this video

Covers linear representations, isomorphism, G modules, and classification of representations of C star and C plus.

Quotients of Groups by Relations of Equivalence Log in to Mediaspace to watch this video

Explores quotients of groups by equivalence relations and the conditions for well-defined sets.

Exam Information Log in to Mediaspace to watch this video

Covers details of the upcoming theoretical exam, including structure and guidelines.

Group Theory: Definitions and Properties Log in to Mediaspace to watch this video

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

Active Learning Session Log in to Mediaspace to watch this video

Explores natural transformations in group theory and category theory, emphasizing functor composition and morphism composition.

Functors and Homomorphisms in Group Theory Log in to Mediaspace to watch this video

Explores functors F_{Ab} and Hom (-,-) in group theory, including presentations and homomorphisms.

McKay Correspondence and Coxeter Groups Log in to Mediaspace to watch this video

Explores the McKay correspondence, Coxeter groups, and finite subgroups of SU(2) and SO(3, emphasizing odd order properties and root system constructions.

Cardinality and Group Theory Log in to Mediaspace to watch this video

Explores cardinality in sets and properties of groups, including commutativity and examples of abstract groups.

Finite Fields and Group Theory Log in to Mediaspace to watch this video

Explores solutions of the 2018 exam, finite fields, group theory, congruences, and polynomial irreducibility in Q[X].

Introduction to Category Theory: Adjoint Functors Log in to Mediaspace to watch this video

Explores a concrete example of adjunction in category theory and covers natural transformations and group theory concepts.

Galois Theory: Solvability and Radical Extensions Log in to Mediaspace to watch this video

Explores solvability by radicals in Galois theory and the Galois/Abel criterion for solvability.

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