Commutative Groups: Isomorphisms, Homomorphisms, Cosets and Quotient Groups - Lecture 3
Offered By: Insights into Mathematics via YouTube
Course Description
Overview
Explore advanced concepts in commutative group theory in this 32-minute lecture from the Insights into Mathematics series. Delve into the fundamental structure theorem, which states that every commutative group is isomorphic to a direct sum of cyclic groups Z_n. Examine key notions such as isomorphisms, homomorphisms, cosets of subgroups, and the process of forming quotient groups. Gain a deeper understanding of these essential algebraic structures and their relationships, enhancing your knowledge of abstract algebra and laying the groundwork for further study in algebraic topology.
Syllabus
AlgTopReview3: More on commutative groups---isomorphisms, homomorphisms, cosets and quotient groups
Taught by
Insights into Mathematics
Related Courses
Introduction to Algebraic Topology (Part-I)Indian Institute of Technology Bombay via Swayam Introduction to Algebraic Topology (Part-II)
NPTEL via Swayam Intro to the Fundamental Group - Algebraic Topology with Tom Rocks Maths
Dr Trefor Bazett via YouTube Neural Sense Relations and Consciousness - A Diagrammatic Approach
Models of Consciousness Conferences via YouTube Classification of 2-Manifolds and Euler Characteristic - Differential Geometry
Insights into Mathematics via YouTube