Group Theory: Definition and Examples

Related lectures (32)

Covers the basics of graph algorithms, focusing on modeling and representation of graphs in memory.

Introduces the basics of graphs and networks, covering definitions, paths, trees, flows, circulation, and spanning trees.

Explores ecological vision and computational agent design in the context of visual perception and behavior.

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 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.

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.

Explores orthogonal projections, symmetry of matrices, and their applications.

Covers the graphical definition of functions, focusing on level sets and domains.

Page 2 of 2