AlgTopReview3: More on commutative groups---isomorphisms, homomorphisms, cosets and quotient groups

We present more information on commutative groups and the fundamental structure theorem that every such group is isomorphic to a direct sum of cyclic groups Z_n. We discuss the notions of isomorphism, homomorphism, cosets of a subgroup, and the quotient of a group by a subgroup.

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Screenshot PDFs for my videos are available at the website http://wildegg.com. These give you a concise overview of the contents of the lectures for various Playlists: great for review, study and summary.

My research papers can be found at my Research Gate page, at https://www.researchgate.net/profile/...

My blog is at http://njwildberger.com/, where I will discuss lots of foundational issues, along with other things.

Online courses will be developed at openlearning.com. The first one, already underway is Algebraic Calculus One at https://www.openlearning.com/courses/... Please join us for an exciting new approach to one of mathematics' most important subjects!

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Here are the Insights into Mathematics Playlists:

MathHistory: A course in the History ...
WildTrig: Intro to Rational Trigonometry
Math Foundations
Wild Linear Algebra
Famous Math Problems
Box Arithmetic
Elementary Mathematics (K-6) Explained
Year9Maths
Ancient Mathematics
Wild West Banking
Sociology and Pure Mathematics
Sociology and Pure Physics
Old Babylonian Mathematics
Probability and Statistics: an introd...
Boole's Logic and Circuit Analysis
Universal Hyperbolic Geometry
Differential Geometry
Algebraic Topology
MathSeminars
Playing Go
Diffusion Symmetry: A bridge between ...

Here are the Wild Egg Maths Playlists (some available only to Members!)

Algebraic Calculus One
Classical to Quantum (Members only)
Algebraic Calculus Two
Advice for mathematics exploration (M...
Solving Polynomial Equations (Members...
The Hexagrammum Mysticum (Members only)
Algebraic Calculus and dCB curves (Me...
Dynamics on Graphs (Members only)
Playlist
Triangle Geometry
Explorations with q-series (Members o...
Six: An elementary course in Pure Mat...
Maxel Inverses and Orthogonal Polynom...
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