What is...the classification of abelian groups?

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Goal.
Explaining basic concepts of (a classical course in) algebra in an intuitive way.

This time.
What is...the classification of abelian groups? Or: Factoring numbers.

Disclaimer.
Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references.

Slides.

Note.
There is no consistent notation for Z/nZ. Some people write, for example, Z/n or Z_n. I should have stressed that, my bad.

Material used.

Mathematica.

Chinese reminder theorem.

List of small groups.

#algebra
#galoistheory
#mathematics
  1. VisualMath
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