Group Theory: Definition and Examples

Related lectures (30)

Page 3 of 3

Explores solvable groups, group actions, normalizers, and stabilizers in group theory.

Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.

Covers topics like DFS output, edge classification, acyclic graphs, correctness, time analysis, SCCs, and the Topological Sort algorithm.

Explores the properties of undirected and directed graphs, emphasizing connectivity and network topology modeling.

Covers symmetric groups, transpositions, sign of a permutation, and conjugacy classes in permutations.

Covers finding the shortest path in directed graphs efficiently using algorithmic approaches and discussing related NP-complete problems.

Explores the Symmetric group, cycle notation, multiplication, the sign of a permutation, and the Alternating group.

Explores model selection challenges in causal models and the impact of local geometry on statistical inference.

Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.

Introduces the basics of graph algorithms, covering traversal, representation, and data structures for BFS and DFS.