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IMC 2005 day 1 pb 6

Source: Peter

July 26, 2005

group theoryabstract algebraIMCcollege contests

Problem Statement

6)

G

group,

G_{m}

and

G_{n}

commutative subgroups being the

m

and

n

th powers of the elements in

G

. Prove

G_{gcd(m,n)}

is commutative.

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