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Related lectures (29)

Local structure of totally disconnected locally compact groups I

Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.

Covers self-similar groups and automorphisms of rooted trees, exploring residually finite groups and congruence subgroups.

Inverse Limits and Topologies

Explores inverse limits, profinite completions, and Hausdorff topologies in group theory and topology.

Endomorphisms and automorphisms of totally disconnected locally compact groups V

Explores endomorphisms and automorphisms of totally disconnected locally compact groups, emphasizing surjective homomorphisms and free abelian groups.

Group Actions: G-object Notion

Explores the categorical framework for group actions, focusing on the concept of G-objects in different categories.

Active Learning: Group Homomorphisms

Explores group homomorphisms, emphasizing surjective mappings and their impact on group questions.

Symmetries in Regular Polygons

Delves into the symmetries of regular polygons, including the dihedral group and left cosets in a finite group.

Classification of Extensions

Explores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.

Group Fundamental: Structure and Applications

Explores the group fundamental structure and homomorphisms through examples and applications.

Concrete Categories

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

Symmetric Group and Group Actions

Covers the Symmetric group, cycle decomposition, transpositions, even and odd permutations, and group actions.

Symmetric Group: Cycle Notation

Explores the symmetric group, emphasizing cycle notation and group properties.

Applications of Lagrange's Theorem

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

Groups & Rings: Morphisms, Kernels, and Injectivity

Explores group morphisms, kernels, and injectivity in group theory.

Group Theory: Part 2

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

Functors and Homomorphisms in Group Theory

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

Group Morphisms: Conjugation and Isomorphism

Covers group morphisms, conjugation, isomorphism, and automorphism concepts.

Normal Subgroups and Quotients

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

Active Learning: Homomorphisms and Exact Sequences

Explores active learning through homomorphisms, exact sequences, and comparisons of presentations in Abelian groups.

Group Homomorphisms

Explores group homomorphisms, isomorphisms, and generators in abstract algebra.

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