Cauchy's theorem

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Science and technology

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What Wikipedia says

In mathematics, specifically group theory, Cauchy's theorem states that if G is a finite group and p is a prime number dividing the order of G (the number of elements in G), then G contains an element of order p. That is, there is x in G such that p is the smallest positive integer with xp = e, where e is the identity element of G. It is named after Augustin-Louis Cauchy, who discovered it in 1845.

Excerpt from the Wikipedia article “Cauchy's theorem (group theory)”, under the CC BY-SA 4.0 license. Read the article on Wikipedia

Image: Original: Jakob.scholbach Vector: Pbroks13, CC BY-SA 3.0, via Wikimedia Commons.