Subgroups and Lagrange’s Theorem

The nature of subsymmetries

Kasper Müller
Cantor’s Paradise
10 min readMar 8, 2021

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Image by Damir Mijailovic on Pexels

Have you ever wondered what restrictions symmetries inside bigger symmetries have to obey?

In this article, we will dive into the beginning of subgroup theory by proving a result first discovered in the 18'th century by the brilliant mathematician Joseph Louis Lagrange.

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Mathematician, programmer and writer interested in the mysteries of the Universe, fascinated by the human mind, music and things that I don’t understand.