state cauchy's theorem.
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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, 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.
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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, 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.
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