Group Theory

From this page you can access a collection of materials dealing with some important areas of Group Theory. For Maynooth University students, this material is typically covered in parts of Groups (MT316A). These resources are not a replacement for the material covered in your lectures and assignments, rather you should use them as extra support to aid your understanding of any material you may have difficulties with.

• Videos on Group Theory - Definition, Inverses, Subgroups, Examples, Cosets, Lagrange's Theorem, Normal Subgroups, Quotient Groups (Video 9), Homomorphisms (Video 15), Isomorphisms (MathDoctorBob)
• A pdf of some theorems and their proofs.
• Notes on Group Theory - Introduction, Subgroups, Cosets, Permutation Groups, Isomorphisms, Homomorphisms & Kernels, Quotients Groups, Isomorphism Theorems (MIT)
• Videos on Group Theory (& Notes down the bottom) - Introduction, Permutations, Quotient Groups & 1st Isomorphism Theorem (Harvard Extension School)
• Video on Introduction to Group Theory & Subgroups (Bill Shillito)
• Video on Homomorphisms & Isomorphisms (Bill Shillito)
• Video on Introduction to Group Theory - Symmetry (SingingBanana)
• Notes on Group Theory - Introduction, Examples, Cayley Tables, Symmetry Group of the Triangle, Subgroups, Cosets, Lagrange's Theorem, Cyclic & Subgroups, Permutations & Permutation Groups (The Dog School of Mathematics)