Kernel and First Isomorphism Theorem - Group Theory
0:00 Kernel is a Normal Subgroup 5:20 First Isomorphism Theorem The first isomorphism theorem is a fundamental theorem in group theory that gives us a powerful way to find isomorphic groups. In this video, we explain what the kernel of a homomorphism is and how to turn a homomorphism into an isomorphism! Group Theory playlist: • Group Theory Subscribe to see more new math videos! Music: C418 - Pr Department

▶︎
A Natural Proof of the First Isomorphism Theorem (Group Theory)

▶︎
Why Normal Subgroups are Necessary for Quotient Groups

▶︎
Inner & Outer Semidirect Products Derivation - Group Theory

▶︎
Proof & Example: Orbit-Stabilizer Theorem - Group Theory

▶︎
Visual Group Theory, Lecture 4.5: The isomorphism theorems

▶︎
Simplifying problems with isomorphisms, explained — Group Theory Ep. 2

▶︎
The Man Who Went From Working At A Subway, To Solving An "Impossible" Math Problem

▶︎
Chapter 7: Group actions, symmetric group and Cayley’s theorem | Essence of Group Theory

▶︎
What does isomorphic mean? What is an isomorphism?

▶︎
Cayley's Theorem Explanation: Every Group is a Permutation Group

▶︎
Russell's Paradox - a simple explanation of a profound problem

▶︎
Chapter 6: Homomorphism and (first) isomorphism theorem | Essence of Group Theory

▶︎
Cosets and Lagrange’s Theorem - The Size of Subgroups (Abstract Algebra)

▶︎
Every Group is a Quotient of a Free Group

▶︎
First Isomorphism Theorem of Groups -- Abstract Algebra 14

▶︎
Normal Subgroups and Quotient Groups (aka Factor Groups) - Abstract Algebra

▶︎
How (and why) to raise e to the power of a matrix | DE6

▶︎
Group theory, abstraction, and the 196,883-dimensional monster

▶︎
Abstract Algebra | First Isomorphism Theorem for Groups

▶︎
