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Related lectures (32)
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Group Actions: G-objects in a Concrete Category
Explores G-objects in a concrete category and the framework for group actions.
Groups and Products
Covers the concepts of groups, products, and homomorphisms, focusing on the hx set and group alternates.
Construction of Free Action Functor
Explores the construction of the free action functor and its equivariance.
Union-Find and Prim's Algorithm
Introduces Union-Find data structure and Prim's algorithm for minimum spanning trees in graphs, exploring cuts and historical origins.
Group Theory Basics: Subgroups and Homomorphisms
Introduces subgroups and homomorphisms in group theory, with examples for illustration.
Endomorphisms and automorphisms of totally disconnected locally compact groups
Explores endomorphisms and automorphisms of totally disconnected locally compact groups, emphasizing the properties of flat groups and free abelian subgroups.
Depth-First Search: Exploration and Analysis
Explores the Depth-First Search algorithm, analyzing edge classifications and key theorems in graph exploration.
Self-similar groups: Automorphisms of rooted trees
Covers self-similar groups and automorphisms of rooted trees, exploring residually finite groups and congruence subgroups.
Endomorphisms and automorphisms of totally disconnected locally compact groups II
Explores flat groups of automorphisms and their properties, including minimization functions and invariance under specific conditions.
Groupes Isomorphes: Applications
Explores isomorphic groups, bijective morphisms, and their applications in group theory.